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Finding the Third Proportional to 1,016,127 and 2,231,534

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Solution

The third proportional to 1,016,127 and 2,231,534 is: 4,900,710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,127 : 2,231,534 = 2,231,534 : x
  2. Step 2: Convert to fraction form
    1,016,127/2,231,534 = 2,231,534/x
  3. Step 3: Cross multiply
    1,016,127x = 2,231,534 × 2,231,534
  4. Step 4: Simplify right side
    1,016,127x = 4,979,743,993,156
  5. Step 5: Solve for x
    x = 4,979,743,993,156/1,016,127
  6. Step 6: Final answer
    x = 4,900,710.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.