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Finding the Third Proportional to 652,515.75 and 918,901.13

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Solution

The third proportional to 652,515.75 and 918,901.13 is: 1,294,036.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,515.75 : 918,901.13 = 918,901.13 : x
  2. Step 2: Convert to fraction form
    652,515.75/918,901.13 = 918,901.13/x
  3. Step 3: Cross multiply
    652,515.75x = 918,901.13 × 918,901.13
  4. Step 4: Simplify right side
    652,515.75x = 844,379,277,526.27
  5. Step 5: Solve for x
    x = 844,379,277,526.27/652,515.75
  6. Step 6: Final answer
    x = 1,294,036.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.