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Finding the Third Proportional to 649,352 and 884,604

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Solution

The third proportional to 649,352 and 884,604 is: 1,205,084.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,352 : 884,604 = 884,604 : x
  2. Step 2: Convert to fraction form
    649,352/884,604 = 884,604/x
  3. Step 3: Cross multiply
    649,352x = 884,604 × 884,604
  4. Step 4: Simplify right side
    649,352x = 782,524,236,816
  5. Step 5: Solve for x
    x = 782,524,236,816/649,352
  6. Step 6: Final answer
    x = 1,205,084.82

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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.