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Finding the Third Proportional to 498,366 and 1,061,980

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Solution

The third proportional to 498,366 and 1,061,980 is: 2,262,998.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,366 : 1,061,980 = 1,061,980 : x
  2. Step 2: Convert to fraction form
    498,366/1,061,980 = 1,061,980/x
  3. Step 3: Cross multiply
    498,366x = 1,061,980 × 1,061,980
  4. Step 4: Simplify right side
    498,366x = 1,127,801,520,400
  5. Step 5: Solve for x
    x = 1,127,801,520,400/498,366
  6. Step 6: Final answer
    x = 2,262,998.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.