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Finding the Third Proportional to 551,335.78 and 1,187,146.69

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Solution

The third proportional to 551,335.78 and 1,187,146.69 is: 2,556,186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,335.78 : 1,187,146.69 = 1,187,146.69 : x
  2. Step 2: Convert to fraction form
    551,335.78/1,187,146.69 = 1,187,146.69/x
  3. Step 3: Cross multiply
    551,335.78x = 1,187,146.69 × 1,187,146.69
  4. Step 4: Simplify right side
    551,335.78x = 1,409,317,257,642.22
  5. Step 5: Solve for x
    x = 1,409,317,257,642.22/551,335.78
  6. Step 6: Final answer
    x = 2,556,186.82

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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.