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Finding the Third Proportional to 744,508 and 1,614,980

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Solution

The third proportional to 744,508 and 1,614,980 is: 3,503,199.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,508 : 1,614,980 = 1,614,980 : x
  2. Step 2: Convert to fraction form
    744,508/1,614,980 = 1,614,980/x
  3. Step 3: Cross multiply
    744,508x = 1,614,980 × 1,614,980
  4. Step 4: Simplify right side
    744,508x = 2,608,160,400,400
  5. Step 5: Solve for x
    x = 2,608,160,400,400/744,508
  6. Step 6: Final answer
    x = 3,503,199.97

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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.