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Finding the Third Proportional to 668,542 and 1,097,463

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Solution

The third proportional to 668,542 and 1,097,463 is: 1,801,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,542 : 1,097,463 = 1,097,463 : x
  2. Step 2: Convert to fraction form
    668,542/1,097,463 = 1,097,463/x
  3. Step 3: Cross multiply
    668,542x = 1,097,463 × 1,097,463
  4. Step 4: Simplify right side
    668,542x = 1,204,425,036,369
  5. Step 5: Solve for x
    x = 1,204,425,036,369/668,542
  6. Step 6: Final answer
    x = 1,801,569.74

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.