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Finding the Third Proportional to 728,453.25 and 1,584,501.75

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Solution

The third proportional to 728,453.25 and 1,584,501.75 is: 3,446,543.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,453.25 : 1,584,501.75 = 1,584,501.75 : x
  2. Step 2: Convert to fraction form
    728,453.25/1,584,501.75 = 1,584,501.75/x
  3. Step 3: Cross multiply
    728,453.25x = 1,584,501.75 × 1,584,501.75
  4. Step 4: Simplify right side
    728,453.25x = 2,510,645,795,753.06
  5. Step 5: Solve for x
    x = 2,510,645,795,753.06/728,453.25
  6. Step 6: Final answer
    x = 3,446,543.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.