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Finding the Third Proportional to 649,350 and 884,601

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Solution

The third proportional to 649,350 and 884,601 is: 1,205,080.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,350 : 884,601 = 884,601 : x
  2. Step 2: Convert to fraction form
    649,350/884,601 = 884,601/x
  3. Step 3: Cross multiply
    649,350x = 884,601 × 884,601
  4. Step 4: Simplify right side
    649,350x = 782,518,929,201
  5. Step 5: Solve for x
    x = 782,518,929,201/649,350
  6. Step 6: Final answer
    x = 1,205,080.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.