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Finding the Third Proportional to 729,533 and 1,165,446

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Solution

The third proportional to 729,533 and 1,165,446 is: 1,861,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,533 : 1,165,446 = 1,165,446 : x
  2. Step 2: Convert to fraction form
    729,533/1,165,446 = 1,165,446/x
  3. Step 3: Cross multiply
    729,533x = 1,165,446 × 1,165,446
  4. Step 4: Simplify right side
    729,533x = 1,358,264,378,916
  5. Step 5: Solve for x
    x = 1,358,264,378,916/729,533
  6. Step 6: Final answer
    x = 1,861,827.19

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.