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Finding the Third Proportional to 1,204,542 and 1,651,691

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Solution

The third proportional to 1,204,542 and 1,651,691 is: 2,264,830.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,542 : 1,651,691 = 1,651,691 : x
  2. Step 2: Convert to fraction form
    1,204,542/1,651,691 = 1,651,691/x
  3. Step 3: Cross multiply
    1,204,542x = 1,651,691 × 1,651,691
  4. Step 4: Simplify right side
    1,204,542x = 2,728,083,159,481
  5. Step 5: Solve for x
    x = 2,728,083,159,481/1,204,542
  6. Step 6: Final answer
    x = 2,264,830.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.