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Finding the Third Proportional to 856,065.75 and 1,327,380

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Solution

The third proportional to 856,065.75 and 1,327,380 is: 2,058,180.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,065.75 : 1,327,380 = 1,327,380 : x
  2. Step 2: Convert to fraction form
    856,065.75/1,327,380 = 1,327,380/x
  3. Step 3: Cross multiply
    856,065.75x = 1,327,380 × 1,327,380
  4. Step 4: Simplify right side
    856,065.75x = 1,761,937,664,400
  5. Step 5: Solve for x
    x = 1,761,937,664,400/856,065.75
  6. Step 6: Final answer
    x = 2,058,180.30

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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.