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Finding the Third Proportional to 822,113 and 1,291,449

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Solution

The third proportional to 822,113 and 1,291,449 is: 2,028,724.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,113 : 1,291,449 = 1,291,449 : x
  2. Step 2: Convert to fraction form
    822,113/1,291,449 = 1,291,449/x
  3. Step 3: Cross multiply
    822,113x = 1,291,449 × 1,291,449
  4. Step 4: Simplify right side
    822,113x = 1,667,840,519,601
  5. Step 5: Solve for x
    x = 1,667,840,519,601/822,113
  6. Step 6: Final answer
    x = 2,028,724.18

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.