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Finding the Third Proportional to 649,364 and 884,620

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Solution

The third proportional to 649,364 and 884,620 is: 1,205,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,364 : 884,620 = 884,620 : x
  2. Step 2: Convert to fraction form
    649,364/884,620 = 884,620/x
  3. Step 3: Cross multiply
    649,364x = 884,620 × 884,620
  4. Step 4: Simplify right side
    649,364x = 782,552,544,400
  5. Step 5: Solve for x
    x = 782,552,544,400/649,364
  6. Step 6: Final answer
    x = 1,205,106.14

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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.