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Finding the Third Proportional to 1,241,177 and 1,929,791.25

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Solution

The third proportional to 1,241,177 and 1,929,791.25 is: 3,000,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,177 : 1,929,791.25 = 1,929,791.25 : x
  2. Step 2: Convert to fraction form
    1,241,177/1,929,791.25 = 1,929,791.25/x
  3. Step 3: Cross multiply
    1,241,177x = 1,929,791.25 × 1,929,791.25
  4. Step 4: Simplify right side
    1,241,177x = 3,724,094,268,576.56
  5. Step 5: Solve for x
    x = 3,724,094,268,576.56/1,241,177
  6. Step 6: Final answer
    x = 3,000,453.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.