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The given equation shows a unit conversion problem, where you need to convert from grams per cubic centimeter \(\left(\frac{g}{cm^3}\right)\) to grams per cubic meter \(\left(\frac{g}{m^3}\right)\).

The equation is:

\[
\left( -1.9 \times 10^3 \, \frac{g}{cm^3} \right) \cdot \text{[conversion factor]} = \, ? \, \frac{g}{m^3}
\]

### Conversion factor:
1 cubic meter (m³) is equal to \(10^6\) cubic centimeters (cm³), because:

\[
(1 \, m)^3 = (100 \, cm)^3 = 1,000,000 \, cm^3 = 10^6 \, cm^3
\]

### Solve:
You need to multiply \(-1.9 \times 10^3 \, \frac{g}{cm^3}\) by \(10^6 \, \frac{cm^3}{m^3}\) to convert it to grams per cubic meter:

\[
\left( -1.9 \times 10^3 \, \frac{g}{cm^3} \right) \cdot 10^6 = -1.9 \times 10^9 \, \frac{g}{m^3}
\]

So, the answer is:

\[
? = -1.9 \times 10^9 \, \frac{g}{m^3}
\]

---

Would you like more details or have any questions? 

Here are 5 related questions for further exploration:
1. What is the physical significance of converting between different volume units like cm³ and m³?
2. How does the dimensional analysis work when converting between units?
3. Can you explain how to convert other units, such as liters to cubic meters?
4. How would the answer change if the density was given as a positive number?
5. What real-world applications require converting densities between different units?

**Tip:** When converting units, remember to cube or square the conversion factor if you're working with volumes or areas.

Learn how to convert -1.9 × 10^3 grams per cubic centimeter (g/cm^3) to grams per cubic meter (g/m^3). This step-by-step guide covers unit conversion using the conversion factor of 1 m^3 = 10^6 cm^3, suitable for students in grades 9-12.

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