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Finding the Third Proportional to 1,694,329.31 and 2,581,201.69

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Solution

The third proportional to 1,694,329.31 and 2,581,201.69 is: 3,932,294.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694,329.31 : 2,581,201.69 = 2,581,201.69 : x
  2. Step 2: Convert to fraction form
    1,694,329.31/2,581,201.69 = 2,581,201.69/x
  3. Step 3: Cross multiply
    1,694,329.31x = 2,581,201.69 × 2,581,201.69
  4. Step 4: Simplify right side
    1,694,329.31x = 6,662,602,151,552.85
  5. Step 5: Solve for x
    x = 6,662,602,151,552.85/1,694,329.31
  6. Step 6: Final answer
    x = 3,932,294.69

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.