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Finding the Third Proportional to 1,016,964 and 1,538,567

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Solution

The third proportional to 1,016,964 and 1,538,567 is: 2,327,701.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,964 : 1,538,567 = 1,538,567 : x
  2. Step 2: Convert to fraction form
    1,016,964/1,538,567 = 1,538,567/x
  3. Step 3: Cross multiply
    1,016,964x = 1,538,567 × 1,538,567
  4. Step 4: Simplify right side
    1,016,964x = 2,367,188,413,489
  5. Step 5: Solve for x
    x = 2,367,188,413,489/1,016,964
  6. Step 6: Final answer
    x = 2,327,701.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.