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Finding the Third Proportional to 551,336.06 and 1,187,147.81

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Solution

The third proportional to 551,336.06 and 1,187,147.81 is: 2,556,190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,336.06 : 1,187,147.81 = 1,187,147.81 : x
  2. Step 2: Convert to fraction form
    551,336.06/1,187,147.81 = 1,187,147.81/x
  3. Step 3: Cross multiply
    551,336.06x = 1,187,147.81 × 1,187,147.81
  4. Step 4: Simplify right side
    551,336.06x = 1,409,319,928,723.54
  5. Step 5: Solve for x
    x = 1,409,319,928,723.54/551,336.06
  6. Step 6: Final answer
    x = 2,556,190.36

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Why These Related Problems?

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