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Finding the Third Proportional to 748,329 and 1,641,534

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Solution

The third proportional to 748,329 and 1,641,534 is: 3,600,867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,329 : 1,641,534 = 1,641,534 : x
  2. Step 2: Convert to fraction form
    748,329/1,641,534 = 1,641,534/x
  3. Step 3: Cross multiply
    748,329x = 1,641,534 × 1,641,534
  4. Step 4: Simplify right side
    748,329x = 2,694,633,873,156
  5. Step 5: Solve for x
    x = 2,694,633,873,156/748,329
  6. Step 6: Final answer
    x = 3,600,867.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.