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Finding the Third Proportional to 732,336 and 1,543,398

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Solution

The third proportional to 732,336 and 1,543,398 is: 3,252,711.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,336 : 1,543,398 = 1,543,398 : x
  2. Step 2: Convert to fraction form
    732,336/1,543,398 = 1,543,398/x
  3. Step 3: Cross multiply
    732,336x = 1,543,398 × 1,543,398
  4. Step 4: Simplify right side
    732,336x = 2,382,077,386,404
  5. Step 5: Solve for x
    x = 2,382,077,386,404/732,336
  6. Step 6: Final answer
    x = 3,252,711.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.