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Finding the Third Proportional to 825,691 and 1,276,110

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Solution

The third proportional to 825,691 and 1,276,110 is: 1,972,235.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,691 : 1,276,110 = 1,276,110 : x
  2. Step 2: Convert to fraction form
    825,691/1,276,110 = 1,276,110/x
  3. Step 3: Cross multiply
    825,691x = 1,276,110 × 1,276,110
  4. Step 4: Simplify right side
    825,691x = 1,628,456,732,100
  5. Step 5: Solve for x
    x = 1,628,456,732,100/825,691
  6. Step 6: Final answer
    x = 1,972,235.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.