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Finding the Third Proportional to 658,723 and 1,437,931

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Solution

The third proportional to 658,723 and 1,437,931 is: 3,138,869.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,723 : 1,437,931 = 1,437,931 : x
  2. Step 2: Convert to fraction form
    658,723/1,437,931 = 1,437,931/x
  3. Step 3: Cross multiply
    658,723x = 1,437,931 × 1,437,931
  4. Step 4: Simplify right side
    658,723x = 2,067,645,560,761
  5. Step 5: Solve for x
    x = 2,067,645,560,761/658,723
  6. Step 6: Final answer
    x = 3,138,869.54

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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.