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Finding the Third Proportional to 739,442 and 1,513,910

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Solution

The third proportional to 739,442 and 1,513,910 is: 3,099,531.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,442 : 1,513,910 = 1,513,910 : x
  2. Step 2: Convert to fraction form
    739,442/1,513,910 = 1,513,910/x
  3. Step 3: Cross multiply
    739,442x = 1,513,910 × 1,513,910
  4. Step 4: Simplify right side
    739,442x = 2,291,923,488,100
  5. Step 5: Solve for x
    x = 2,291,923,488,100/739,442
  6. Step 6: Final answer
    x = 3,099,531.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.