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Finding the Third Proportional to 551,422.69 and 1,194,451.31

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Solution

The third proportional to 551,422.69 and 1,194,451.31 is: 2,587,332.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,422.69 : 1,194,451.31 = 1,194,451.31 : x
  2. Step 2: Convert to fraction form
    551,422.69/1,194,451.31 = 1,194,451.31/x
  3. Step 3: Cross multiply
    551,422.69x = 1,194,451.31 × 1,194,451.31
  4. Step 4: Simplify right side
    551,422.69x = 1,426,713,937,932.97
  5. Step 5: Solve for x
    x = 1,426,713,937,932.97/551,422.69
  6. Step 6: Final answer
    x = 2,587,332.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.