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Finding the Third Proportional to 683,416 and 1,498,464

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Solution

The third proportional to 683,416 and 1,498,464 is: 3,285,545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,416 : 1,498,464 = 1,498,464 : x
  2. Step 2: Convert to fraction form
    683,416/1,498,464 = 1,498,464/x
  3. Step 3: Cross multiply
    683,416x = 1,498,464 × 1,498,464
  4. Step 4: Simplify right side
    683,416x = 2,245,394,359,296
  5. Step 5: Solve for x
    x = 2,245,394,359,296/683,416
  6. Step 6: Final answer
    x = 3,285,545.49

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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.