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Finding the Third Proportional to 424,882.13 and 923,116.50

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Solution

The third proportional to 424,882.13 and 923,116.50 is: 2,005,601.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,882.13 : 923,116.50 = 923,116.50 : x
  2. Step 2: Convert to fraction form
    424,882.13/923,116.50 = 923,116.50/x
  3. Step 3: Cross multiply
    424,882.13x = 923,116.50 × 923,116.50
  4. Step 4: Simplify right side
    424,882.13x = 852,144,072,572.25
  5. Step 5: Solve for x
    x = 852,144,072,572.25/424,882.13
  6. Step 6: Final answer
    x = 2,005,601.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.