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Finding the Third Proportional to 687,077 and 1,465,447

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Solution

The third proportional to 687,077 and 1,465,447 is: 3,125,610.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,077 : 1,465,447 = 1,465,447 : x
  2. Step 2: Convert to fraction form
    687,077/1,465,447 = 1,465,447/x
  3. Step 3: Cross multiply
    687,077x = 1,465,447 × 1,465,447
  4. Step 4: Simplify right side
    687,077x = 2,147,534,909,809
  5. Step 5: Solve for x
    x = 2,147,534,909,809/687,077
  6. Step 6: Final answer
    x = 3,125,610.24

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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.