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Finding the Third Proportional to 1,016,965 and 1,538,569

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Solution

The third proportional to 1,016,965 and 1,538,569 is: 2,327,705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,965 : 1,538,569 = 1,538,569 : x
  2. Step 2: Convert to fraction form
    1,016,965/1,538,569 = 1,538,569/x
  3. Step 3: Cross multiply
    1,016,965x = 1,538,569 × 1,538,569
  4. Step 4: Simplify right side
    1,016,965x = 2,367,194,567,761
  5. Step 5: Solve for x
    x = 2,367,194,567,761/1,016,965
  6. Step 6: Final answer
    x = 2,327,705.05

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Why These Related Problems?

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