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Finding the Third Proportional to 2,272,538 and 4,972,675

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Solution

The third proportional to 2,272,538 and 4,972,675 is: 10,881,004.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272,538 : 4,972,675 = 4,972,675 : x
  2. Step 2: Convert to fraction form
    2,272,538/4,972,675 = 4,972,675/x
  3. Step 3: Cross multiply
    2,272,538x = 4,972,675 × 4,972,675
  4. Step 4: Simplify right side
    2,272,538x = 24,727,496,655,625
  5. Step 5: Solve for x
    x = 24,727,496,655,625/2,272,538
  6. Step 6: Final answer
    x = 10,881,004.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.