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Finding the Third Proportional to 739,845 and 1,002,597

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Solution

The third proportional to 739,845 and 1,002,597 is: 1,358,663.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,845 : 1,002,597 = 1,002,597 : x
  2. Step 2: Convert to fraction form
    739,845/1,002,597 = 1,002,597/x
  3. Step 3: Cross multiply
    739,845x = 1,002,597 × 1,002,597
  4. Step 4: Simplify right side
    739,845x = 1,005,200,744,409
  5. Step 5: Solve for x
    x = 1,005,200,744,409/739,845
  6. Step 6: Final answer
    x = 1,358,663.97

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.