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Finding the Third Proportional to 1,141,534 and 2,459,665

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Solution

The third proportional to 1,141,534 and 2,459,665 is: 5,299,843.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141,534 : 2,459,665 = 2,459,665 : x
  2. Step 2: Convert to fraction form
    1,141,534/2,459,665 = 2,459,665/x
  3. Step 3: Cross multiply
    1,141,534x = 2,459,665 × 2,459,665
  4. Step 4: Simplify right side
    1,141,534x = 6,049,951,912,225
  5. Step 5: Solve for x
    x = 6,049,951,912,225/1,141,534
  6. Step 6: Final answer
    x = 5,299,843.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.