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Finding the Third Proportional to 2,853,747 and 4,416,866

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Solution

The third proportional to 2,853,747 and 4,416,866 is: 6,836,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853,747 : 4,416,866 = 4,416,866 : x
  2. Step 2: Convert to fraction form
    2,853,747/4,416,866 = 4,416,866/x
  3. Step 3: Cross multiply
    2,853,747x = 4,416,866 × 4,416,866
  4. Step 4: Simplify right side
    2,853,747x = 19,508,705,261,956
  5. Step 5: Solve for x
    x = 19,508,705,261,956/2,853,747
  6. Step 6: Final answer
    x = 6,836,171.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.