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Finding the Third Proportional to 824,432 and 1,311,452

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Solution

The third proportional to 824,432 and 1,311,452 is: 2,086,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,432 : 1,311,452 = 1,311,452 : x
  2. Step 2: Convert to fraction form
    824,432/1,311,452 = 1,311,452/x
  3. Step 3: Cross multiply
    824,432x = 1,311,452 × 1,311,452
  4. Step 4: Simplify right side
    824,432x = 1,719,906,348,304
  5. Step 5: Solve for x
    x = 1,719,906,348,304/824,432
  6. Step 6: Final answer
    x = 2,086,171.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.