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Finding the Third Proportional to 646,066.13 and 962,796.38

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Solution

The third proportional to 646,066.13 and 962,796.38 is: 1,434,801.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,066.13 : 962,796.38 = 962,796.38 : x
  2. Step 2: Convert to fraction form
    646,066.13/962,796.38 = 962,796.38/x
  3. Step 3: Cross multiply
    646,066.13x = 962,796.38 × 962,796.38
  4. Step 4: Simplify right side
    646,066.13x = 926,976,859,713.14
  5. Step 5: Solve for x
    x = 926,976,859,713.14/646,066.13
  6. Step 6: Final answer
    x = 1,434,801.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.