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Finding the Third Proportional to 1,013,268 and 1,581,249

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Solution

The third proportional to 1,013,268 and 1,581,249 is: 2,467,608.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,268 : 1,581,249 = 1,581,249 : x
  2. Step 2: Convert to fraction form
    1,013,268/1,581,249 = 1,581,249/x
  3. Step 3: Cross multiply
    1,013,268x = 1,581,249 × 1,581,249
  4. Step 4: Simplify right side
    1,013,268x = 2,500,348,400,001
  5. Step 5: Solve for x
    x = 2,500,348,400,001/1,013,268
  6. Step 6: Final answer
    x = 2,467,608.17

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.