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Finding the Third Proportional to 1,016,962 and 1,538,564

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Solution

The third proportional to 1,016,962 and 1,538,564 is: 2,327,696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,962 : 1,538,564 = 1,538,564 : x
  2. Step 2: Convert to fraction form
    1,016,962/1,538,564 = 1,538,564/x
  3. Step 3: Cross multiply
    1,016,962x = 1,538,564 × 1,538,564
  4. Step 4: Simplify right side
    1,016,962x = 2,367,179,182,096
  5. Step 5: Solve for x
    x = 2,367,179,182,096/1,016,962
  6. Step 6: Final answer
    x = 2,327,696.79

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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.