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Finding the Third Proportional to 857,357.44 and 1,253,850.75

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Solution

The third proportional to 857,357.44 and 1,253,850.75 is: 1,833,706.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,357.44 : 1,253,850.75 = 1,253,850.75 : x
  2. Step 2: Convert to fraction form
    857,357.44/1,253,850.75 = 1,253,850.75/x
  3. Step 3: Cross multiply
    857,357.44x = 1,253,850.75 × 1,253,850.75
  4. Step 4: Simplify right side
    857,357.44x = 1,572,141,703,275.56
  5. Step 5: Solve for x
    x = 1,572,141,703,275.56/857,357.44
  6. Step 6: Final answer
    x = 1,833,706.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.