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Finding the Third Proportional to 963,524 and 2,117,720

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Solution

The third proportional to 963,524 and 2,117,720 is: 4,654,516.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,524 : 2,117,720 = 2,117,720 : x
  2. Step 2: Convert to fraction form
    963,524/2,117,720 = 2,117,720/x
  3. Step 3: Cross multiply
    963,524x = 2,117,720 × 2,117,720
  4. Step 4: Simplify right side
    963,524x = 4,484,737,998,400
  5. Step 5: Solve for x
    x = 4,484,737,998,400/963,524
  6. Step 6: Final answer
    x = 4,654,516.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.