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Finding the Third Proportional to 498,624 and 1,081,376

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Solution

The third proportional to 498,624 and 1,081,376 is: 2,345,202.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,624 : 1,081,376 = 1,081,376 : x
  2. Step 2: Convert to fraction form
    498,624/1,081,376 = 1,081,376/x
  3. Step 3: Cross multiply
    498,624x = 1,081,376 × 1,081,376
  4. Step 4: Simplify right side
    498,624x = 1,169,374,053,376
  5. Step 5: Solve for x
    x = 1,169,374,053,376/498,624
  6. Step 6: Final answer
    x = 2,345,202.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.