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Finding the Third Proportional to 715,404 and 1,516,092

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Solution

The third proportional to 715,404 and 1,516,092 is: 3,212,918.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,404 : 1,516,092 = 1,516,092 : x
  2. Step 2: Convert to fraction form
    715,404/1,516,092 = 1,516,092/x
  3. Step 3: Cross multiply
    715,404x = 1,516,092 × 1,516,092
  4. Step 4: Simplify right side
    715,404x = 2,298,534,952,464
  5. Step 5: Solve for x
    x = 2,298,534,952,464/715,404
  6. Step 6: Final answer
    x = 3,212,918.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.