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Finding the Third Proportional to 739,847 and 1,002,600

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Solution

The third proportional to 739,847 and 1,002,600 is: 1,358,668.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,847 : 1,002,600 = 1,002,600 : x
  2. Step 2: Convert to fraction form
    739,847/1,002,600 = 1,002,600/x
  3. Step 3: Cross multiply
    739,847x = 1,002,600 × 1,002,600
  4. Step 4: Simplify right side
    739,847x = 1,005,206,760,000
  5. Step 5: Solve for x
    x = 1,005,206,760,000/739,847
  6. Step 6: Final answer
    x = 1,358,668.43

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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.