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Finding the Third Proportional to 581,196.09 and 1,251,451.69

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Solution

The third proportional to 581,196.09 and 1,251,451.69 is: 2,694,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,196.09 : 1,251,451.69 = 1,251,451.69 : x
  2. Step 2: Convert to fraction form
    581,196.09/1,251,451.69 = 1,251,451.69/x
  3. Step 3: Cross multiply
    581,196.09x = 1,251,451.69 × 1,251,451.69
  4. Step 4: Simplify right side
    581,196.09x = 1,566,131,326,146.60
  5. Step 5: Solve for x
    x = 1,566,131,326,146.60/581,196.09
  6. Step 6: Final answer
    x = 2,694,669.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.