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Finding the Third Proportional to 727,412 and 1,580,734

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Solution

The third proportional to 727,412 and 1,580,734 is: 3,435,082.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,412 : 1,580,734 = 1,580,734 : x
  2. Step 2: Convert to fraction form
    727,412/1,580,734 = 1,580,734/x
  3. Step 3: Cross multiply
    727,412x = 1,580,734 × 1,580,734
  4. Step 4: Simplify right side
    727,412x = 2,498,719,978,756
  5. Step 5: Solve for x
    x = 2,498,719,978,756/727,412
  6. Step 6: Final answer
    x = 3,435,082.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.