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Finding the Third Proportional to 687,069 and 1,465,452

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Solution

The third proportional to 687,069 and 1,465,452 is: 3,125,667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,069 : 1,465,452 = 1,465,452 : x
  2. Step 2: Convert to fraction form
    687,069/1,465,452 = 1,465,452/x
  3. Step 3: Cross multiply
    687,069x = 1,465,452 × 1,465,452
  4. Step 4: Simplify right side
    687,069x = 2,147,549,564,304
  5. Step 5: Solve for x
    x = 2,147,549,564,304/687,069
  6. Step 6: Final answer
    x = 3,125,667.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.