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Finding the Third Proportional to 1,241,874.28 and 1,944,003.80

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Solution

The third proportional to 1,241,874.28 and 1,944,003.80 is: 3,043,102.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,874.28 : 1,944,003.80 = 1,944,003.80 : x
  2. Step 2: Convert to fraction form
    1,241,874.28/1,944,003.80 = 1,944,003.80/x
  3. Step 3: Cross multiply
    1,241,874.28x = 1,944,003.80 × 1,944,003.80
  4. Step 4: Simplify right side
    1,241,874.28x = 3,779,150,762,264.42
  5. Step 5: Solve for x
    x = 3,779,150,762,264.42/1,241,874.28
  6. Step 6: Final answer
    x = 3,043,102.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.