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Finding the Third Proportional to 3,913,866 and 5,972,031

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Solution

The third proportional to 3,913,866 and 5,972,031 is: 9,112,512.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913,866 : 5,972,031 = 5,972,031 : x
  2. Step 2: Convert to fraction form
    3,913,866/5,972,031 = 5,972,031/x
  3. Step 3: Cross multiply
    3,913,866x = 5,972,031 × 5,972,031
  4. Step 4: Simplify right side
    3,913,866x = 35,665,154,264,961
  5. Step 5: Solve for x
    x = 35,665,154,264,961/3,913,866
  6. Step 6: Final answer
    x = 9,112,512.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.