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Finding the Third Proportional to 856,077.75 and 1,327,398.75

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Solution

The third proportional to 856,077.75 and 1,327,398.75 is: 2,058,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,077.75 : 1,327,398.75 = 1,327,398.75 : x
  2. Step 2: Convert to fraction form
    856,077.75/1,327,398.75 = 1,327,398.75/x
  3. Step 3: Cross multiply
    856,077.75x = 1,327,398.75 × 1,327,398.75
  4. Step 4: Simplify right side
    856,077.75x = 1,761,987,441,501.56
  5. Step 5: Solve for x
    x = 1,761,987,441,501.56/856,077.75
  6. Step 6: Final answer
    x = 2,058,209.60

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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.