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Finding the Third Proportional to 1,016,649 and 2,172,906

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Solution

The third proportional to 1,016,649 and 2,172,906 is: 4,644,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,649 : 2,172,906 = 2,172,906 : x
  2. Step 2: Convert to fraction form
    1,016,649/2,172,906 = 2,172,906/x
  3. Step 3: Cross multiply
    1,016,649x = 2,172,906 × 2,172,906
  4. Step 4: Simplify right side
    1,016,649x = 4,721,520,484,836
  5. Step 5: Solve for x
    x = 4,721,520,484,836/1,016,649
  6. Step 6: Final answer
    x = 4,644,199.21

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.