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Finding the Third Proportional to 1,251,799.31 and 2,680,745.63

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Solution

The third proportional to 1,251,799.31 and 2,680,745.63 is: 5,740,854.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251,799.31 : 2,680,745.63 = 2,680,745.63 : x
  2. Step 2: Convert to fraction form
    1,251,799.31/2,680,745.63 = 2,680,745.63/x
  3. Step 3: Cross multiply
    1,251,799.31x = 2,680,745.63 × 2,680,745.63
  4. Step 4: Simplify right side
    1,251,799.31x = 7,186,397,105,956.64
  5. Step 5: Solve for x
    x = 7,186,397,105,956.64/1,251,799.31
  6. Step 6: Final answer
    x = 5,740,854.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.