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Finding the Third Proportional to 731,655 and 1,565,005

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Solution

The third proportional to 731,655 and 1,565,005 is: 3,347,534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,655 : 1,565,005 = 1,565,005 : x
  2. Step 2: Convert to fraction form
    731,655/1,565,005 = 1,565,005/x
  3. Step 3: Cross multiply
    731,655x = 1,565,005 × 1,565,005
  4. Step 4: Simplify right side
    731,655x = 2,449,240,650,025
  5. Step 5: Solve for x
    x = 2,449,240,650,025/731,655
  6. Step 6: Final answer
    x = 3,347,534.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.