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Finding the Third Proportional to 748,351 and 1,641,567

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Solution

The third proportional to 748,351 and 1,641,567 is: 3,600,906.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,351 : 1,641,567 = 1,641,567 : x
  2. Step 2: Convert to fraction form
    748,351/1,641,567 = 1,641,567/x
  3. Step 3: Cross multiply
    748,351x = 1,641,567 × 1,641,567
  4. Step 4: Simplify right side
    748,351x = 2,694,742,215,489
  5. Step 5: Solve for x
    x = 2,694,742,215,489/748,351
  6. Step 6: Final answer
    x = 3,600,906.81

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Why These Related Problems?

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