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Finding the Third Proportional to 748,311 and 1,641,498

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Solution

The third proportional to 748,311 and 1,641,498 is: 3,600,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,311 : 1,641,498 = 1,641,498 : x
  2. Step 2: Convert to fraction form
    748,311/1,641,498 = 1,641,498/x
  3. Step 3: Cross multiply
    748,311x = 1,641,498 × 1,641,498
  4. Step 4: Simplify right side
    748,311x = 2,694,515,684,004
  5. Step 5: Solve for x
    x = 2,694,515,684,004/748,311
  6. Step 6: Final answer
    x = 3,600,796.57

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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.