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Finding the Third Proportional to 748,299 and 1,641,474

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Solution

The third proportional to 748,299 and 1,641,474 is: 3,600,749.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,299 : 1,641,474 = 1,641,474 : x
  2. Step 2: Convert to fraction form
    748,299/1,641,474 = 1,641,474/x
  3. Step 3: Cross multiply
    748,299x = 1,641,474 × 1,641,474
  4. Step 4: Simplify right side
    748,299x = 2,694,436,892,676
  5. Step 5: Solve for x
    x = 2,694,436,892,676/748,299
  6. Step 6: Final answer
    x = 3,600,749.02

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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.