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Finding the Third Proportional to 649,354 and 884,606

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Solution

The third proportional to 649,354 and 884,606 is: 1,205,086.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,354 : 884,606 = 884,606 : x
  2. Step 2: Convert to fraction form
    649,354/884,606 = 884,606/x
  3. Step 3: Cross multiply
    649,354x = 884,606 × 884,606
  4. Step 4: Simplify right side
    649,354x = 782,527,775,236
  5. Step 5: Solve for x
    x = 782,527,775,236/649,354
  6. Step 6: Final answer
    x = 1,205,086.56

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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.