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Finding the Third Proportional to 810,317.25 and 1,738,729.13

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Solution

The third proportional to 810,317.25 and 1,738,729.13 is: 3,730,858.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,317.25 : 1,738,729.13 = 1,738,729.13 : x
  2. Step 2: Convert to fraction form
    810,317.25/1,738,729.13 = 1,738,729.13/x
  3. Step 3: Cross multiply
    810,317.25x = 1,738,729.13 × 1,738,729.13
  4. Step 4: Simplify right side
    810,317.25x = 3,023,178,970,123.27
  5. Step 5: Solve for x
    x = 3,023,178,970,123.27/810,317.25
  6. Step 6: Final answer
    x = 3,730,858.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.