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Finding the Third Proportional to 828,917 and 1,246,452

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Solution

The third proportional to 828,917 and 1,246,452 is: 1,874,304.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,917 : 1,246,452 = 1,246,452 : x
  2. Step 2: Convert to fraction form
    828,917/1,246,452 = 1,246,452/x
  3. Step 3: Cross multiply
    828,917x = 1,246,452 × 1,246,452
  4. Step 4: Simplify right side
    828,917x = 1,553,642,588,304
  5. Step 5: Solve for x
    x = 1,553,642,588,304/828,917
  6. Step 6: Final answer
    x = 1,874,304.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.