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Finding the Third Proportional to 986,883.75 and 1,286,229.38

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Solution

The third proportional to 986,883.75 and 1,286,229.38 is: 1,676,373.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,883.75 : 1,286,229.38 = 1,286,229.38 : x
  2. Step 2: Convert to fraction form
    986,883.75/1,286,229.38 = 1,286,229.38/x
  3. Step 3: Cross multiply
    986,883.75x = 1,286,229.38 × 1,286,229.38
  4. Step 4: Simplify right side
    986,883.75x = 1,654,386,005,112.89
  5. Step 5: Solve for x
    x = 1,654,386,005,112.89/986,883.75
  6. Step 6: Final answer
    x = 1,676,373.74

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.