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Finding the Third Proportional to 1,181,661 and 1,833,189

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Solution

The third proportional to 1,181,661 and 1,833,189 is: 2,843,947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,661 : 1,833,189 = 1,833,189 : x
  2. Step 2: Convert to fraction form
    1,181,661/1,833,189 = 1,833,189/x
  3. Step 3: Cross multiply
    1,181,661x = 1,833,189 × 1,833,189
  4. Step 4: Simplify right side
    1,181,661x = 3,360,581,909,721
  5. Step 5: Solve for x
    x = 3,360,581,909,721/1,181,661
  6. Step 6: Final answer
    x = 2,843,947.55

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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.