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Finding the Third Proportional to 739,877 and 1,613,651

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Solution

The third proportional to 739,877 and 1,613,651 is: 3,519,327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,877 : 1,613,651 = 1,613,651 : x
  2. Step 2: Convert to fraction form
    739,877/1,613,651 = 1,613,651/x
  3. Step 3: Cross multiply
    739,877x = 1,613,651 × 1,613,651
  4. Step 4: Simplify right side
    739,877x = 2,603,869,549,801
  5. Step 5: Solve for x
    x = 2,603,869,549,801/739,877
  6. Step 6: Final answer
    x = 3,519,327.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.