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Finding the Third Proportional to 442,882.69 and 969,931.13

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Solution

The third proportional to 442,882.69 and 969,931.13 is: 2,124,188.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,882.69 : 969,931.13 = 969,931.13 : x
  2. Step 2: Convert to fraction form
    442,882.69/969,931.13 = 969,931.13/x
  3. Step 3: Cross multiply
    442,882.69x = 969,931.13 × 969,931.13
  4. Step 4: Simplify right side
    442,882.69x = 940,766,387,243.77
  5. Step 5: Solve for x
    x = 940,766,387,243.77/442,882.69
  6. Step 6: Final answer
    x = 2,124,188.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.