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Finding the Third Proportional to 972,335.25 and 1,471,917.38

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Solution

The third proportional to 972,335.25 and 1,471,917.38 is: 2,228,182.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,335.25 : 1,471,917.38 = 1,471,917.38 : x
  2. Step 2: Convert to fraction form
    972,335.25/1,471,917.38 = 1,471,917.38/x
  3. Step 3: Cross multiply
    972,335.25x = 1,471,917.38 × 1,471,917.38
  4. Step 4: Simplify right side
    972,335.25x = 2,166,540,758,826.89
  5. Step 5: Solve for x
    x = 2,166,540,758,826.89/972,335.25
  6. Step 6: Final answer
    x = 2,228,182.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.