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Finding the Third Proportional to 1,023,672.94 and 2,215,233.56

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Solution

The third proportional to 1,023,672.94 and 2,215,233.56 is: 4,793,776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,672.94 : 2,215,233.56 = 2,215,233.56 : x
  2. Step 2: Convert to fraction form
    1,023,672.94/2,215,233.56 = 2,215,233.56/x
  3. Step 3: Cross multiply
    1,023,672.94x = 2,215,233.56 × 2,215,233.56
  4. Step 4: Simplify right side
    1,023,672.94x = 4,907,259,736,426.44
  5. Step 5: Solve for x
    x = 4,907,259,736,426.44/1,023,672.94
  6. Step 6: Final answer
    x = 4,793,776.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.