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Finding the Third Proportional to 721,606.50 and 1,566,180

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Solution

The third proportional to 721,606.50 and 1,566,180 is: 3,399,248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,606.50 : 1,566,180 = 1,566,180 : x
  2. Step 2: Convert to fraction form
    721,606.50/1,566,180 = 1,566,180/x
  3. Step 3: Cross multiply
    721,606.50x = 1,566,180 × 1,566,180
  4. Step 4: Simplify right side
    721,606.50x = 2,452,919,792,400
  5. Step 5: Solve for x
    x = 2,452,919,792,400/721,606.50
  6. Step 6: Final answer
    x = 3,399,248.47

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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.