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Finding the Third Proportional to 491,126 and 1,057,822

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Solution

The third proportional to 491,126 and 1,057,822 is: 2,278,412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,126 : 1,057,822 = 1,057,822 : x
  2. Step 2: Convert to fraction form
    491,126/1,057,822 = 1,057,822/x
  3. Step 3: Cross multiply
    491,126x = 1,057,822 × 1,057,822
  4. Step 4: Simplify right side
    491,126x = 1,118,987,383,684
  5. Step 5: Solve for x
    x = 1,118,987,383,684/491,126
  6. Step 6: Final answer
    x = 2,278,412.02

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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.