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Finding the Third Proportional to 939,834 and 1,513,270.13

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Solution

The third proportional to 939,834 and 1,513,270.13 is: 2,436,586.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    939,834 : 1,513,270.13 = 1,513,270.13 : x
  2. Step 2: Convert to fraction form
    939,834/1,513,270.13 = 1,513,270.13/x
  3. Step 3: Cross multiply
    939,834x = 1,513,270.13 × 1,513,270.13
  4. Step 4: Simplify right side
    939,834x = 2,289,986,471,217.52
  5. Step 5: Solve for x
    x = 2,289,986,471,217.52/939,834
  6. Step 6: Final answer
    x = 2,436,586.11

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.