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Finding the Third Proportional to 715,437 and 1,565,374

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Solution

The third proportional to 715,437 and 1,565,374 is: 3,425,033.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,437 : 1,565,374 = 1,565,374 : x
  2. Step 2: Convert to fraction form
    715,437/1,565,374 = 1,565,374/x
  3. Step 3: Cross multiply
    715,437x = 1,565,374 × 1,565,374
  4. Step 4: Simplify right side
    715,437x = 2,450,395,759,876
  5. Step 5: Solve for x
    x = 2,450,395,759,876/715,437
  6. Step 6: Final answer
    x = 3,425,033.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.