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Finding the Third Proportional to 383,514 and 895,767

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Solution

The third proportional to 383,514 and 895,767 is: 2,092,227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,514 : 895,767 = 895,767 : x
  2. Step 2: Convert to fraction form
    383,514/895,767 = 895,767/x
  3. Step 3: Cross multiply
    383,514x = 895,767 × 895,767
  4. Step 4: Simplify right side
    383,514x = 802,398,518,289
  5. Step 5: Solve for x
    x = 802,398,518,289/383,514
  6. Step 6: Final answer
    x = 2,092,227.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.