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Finding the Third Proportional to 857,216.25 and 1,832,523.75

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Solution

The third proportional to 857,216.25 and 1,832,523.75 is: 3,917,498.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,216.25 : 1,832,523.75 = 1,832,523.75 : x
  2. Step 2: Convert to fraction form
    857,216.25/1,832,523.75 = 1,832,523.75/x
  3. Step 3: Cross multiply
    857,216.25x = 1,832,523.75 × 1,832,523.75
  4. Step 4: Simplify right side
    857,216.25x = 3,358,143,294,314.06
  5. Step 5: Solve for x
    x = 3,358,143,294,314.06/857,216.25
  6. Step 6: Final answer
    x = 3,917,498.41

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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.