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Finding the Third Proportional to 622,791.28 and 1,016,953.73

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Solution

The third proportional to 622,791.28 and 1,016,953.73 is: 1,660,580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,791.28 : 1,016,953.73 = 1,016,953.73 : x
  2. Step 2: Convert to fraction form
    622,791.28/1,016,953.73 = 1,016,953.73/x
  3. Step 3: Cross multiply
    622,791.28x = 1,016,953.73 × 1,016,953.73
  4. Step 4: Simplify right side
    622,791.28x = 1,034,194,897,859.26
  5. Step 5: Solve for x
    x = 1,034,194,897,859.26/622,791.28
  6. Step 6: Final answer
    x = 1,660,580.24

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.