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Finding the Third Proportional to 856,064.25 and 1,327,377.38

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Solution

The third proportional to 856,064.25 and 1,327,377.38 is: 2,058,175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,064.25 : 1,327,377.38 = 1,327,377.38 : x
  2. Step 2: Convert to fraction form
    856,064.25/1,327,377.38 = 1,327,377.38/x
  3. Step 3: Cross multiply
    856,064.25x = 1,327,377.38 × 1,327,377.38
  4. Step 4: Simplify right side
    856,064.25x = 1,761,930,695,661.89
  5. Step 5: Solve for x
    x = 1,761,930,695,661.89/856,064.25
  6. Step 6: Final answer
    x = 2,058,175.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.