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Finding the Third Proportional to 1,531,649 and 2,543,877

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Solution

The third proportional to 1,531,649 and 2,543,877 is: 4,225,060.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531,649 : 2,543,877 = 2,543,877 : x
  2. Step 2: Convert to fraction form
    1,531,649/2,543,877 = 2,543,877/x
  3. Step 3: Cross multiply
    1,531,649x = 2,543,877 × 2,543,877
  4. Step 4: Simplify right side
    1,531,649x = 6,471,310,191,129
  5. Step 5: Solve for x
    x = 6,471,310,191,129/1,531,649
  6. Step 6: Final answer
    x = 4,225,060.83

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.