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Finding the Third Proportional to 383,828 and 811,943

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Solution

The third proportional to 383,828 and 811,943 is: 1,717,569.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,828 : 811,943 = 811,943 : x
  2. Step 2: Convert to fraction form
    383,828/811,943 = 811,943/x
  3. Step 3: Cross multiply
    383,828x = 811,943 × 811,943
  4. Step 4: Simplify right side
    383,828x = 659,251,435,249
  5. Step 5: Solve for x
    x = 659,251,435,249/383,828
  6. Step 6: Final answer
    x = 1,717,569.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.