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Finding the Third Proportional to 963,540 and 2,117,744

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Solution

The third proportional to 963,540 and 2,117,744 is: 4,654,544.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,540 : 2,117,744 = 2,117,744 : x
  2. Step 2: Convert to fraction form
    963,540/2,117,744 = 2,117,744/x
  3. Step 3: Cross multiply
    963,540x = 2,117,744 × 2,117,744
  4. Step 4: Simplify right side
    963,540x = 4,484,839,649,536
  5. Step 5: Solve for x
    x = 4,484,839,649,536/963,540
  6. Step 6: Final answer
    x = 4,654,544.34

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