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Finding the Third Proportional to 729,892 and 1,125,654

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Solution

The third proportional to 729,892 and 1,125,654 is: 1,736,006.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,892 : 1,125,654 = 1,125,654 : x
  2. Step 2: Convert to fraction form
    729,892/1,125,654 = 1,125,654/x
  3. Step 3: Cross multiply
    729,892x = 1,125,654 × 1,125,654
  4. Step 4: Simplify right side
    729,892x = 1,267,096,927,716
  5. Step 5: Solve for x
    x = 1,267,096,927,716/729,892
  6. Step 6: Final answer
    x = 1,736,006.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.