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Finding the Third Proportional to 853,679.25 and 1,286,148.38

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Solution

The third proportional to 853,679.25 and 1,286,148.38 is: 1,937,703.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,679.25 : 1,286,148.38 = 1,286,148.38 : x
  2. Step 2: Convert to fraction form
    853,679.25/1,286,148.38 = 1,286,148.38/x
  3. Step 3: Cross multiply
    853,679.25x = 1,286,148.38 × 1,286,148.38
  4. Step 4: Simplify right side
    853,679.25x = 1,654,177,642,515.14
  5. Step 5: Solve for x
    x = 1,654,177,642,515.14/853,679.25
  6. Step 6: Final answer
    x = 1,937,703.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.