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Finding the Third Proportional to 4,581,517 and 6,732,031

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Solution

The third proportional to 4,581,517 and 6,732,031 is: 9,891,972.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,581,517 : 6,732,031 = 6,732,031 : x
  2. Step 2: Convert to fraction form
    4,581,517/6,732,031 = 6,732,031/x
  3. Step 3: Cross multiply
    4,581,517x = 6,732,031 × 6,732,031
  4. Step 4: Simplify right side
    4,581,517x = 45,320,241,384,961
  5. Step 5: Solve for x
    x = 45,320,241,384,961/4,581,517
  6. Step 6: Final answer
    x = 9,891,972.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.