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Finding the Third Proportional to 564,571 and 1,242,866

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Solution

The third proportional to 564,571 and 1,242,866 is: 2,736,087.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,571 : 1,242,866 = 1,242,866 : x
  2. Step 2: Convert to fraction form
    564,571/1,242,866 = 1,242,866/x
  3. Step 3: Cross multiply
    564,571x = 1,242,866 × 1,242,866
  4. Step 4: Simplify right side
    564,571x = 1,544,715,893,956
  5. Step 5: Solve for x
    x = 1,544,715,893,956/564,571
  6. Step 6: Final answer
    x = 2,736,087.92

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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.