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Finding the Third Proportional to 1,169,016 and 2,429,874

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Solution

The third proportional to 1,169,016 and 2,429,874 is: 5,050,647.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169,016 : 2,429,874 = 2,429,874 : x
  2. Step 2: Convert to fraction form
    1,169,016/2,429,874 = 2,429,874/x
  3. Step 3: Cross multiply
    1,169,016x = 2,429,874 × 2,429,874
  4. Step 4: Simplify right side
    1,169,016x = 5,904,287,655,876
  5. Step 5: Solve for x
    x = 5,904,287,655,876/1,169,016
  6. Step 6: Final answer
    x = 5,050,647.43

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.