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Finding the Third Proportional to 1,278,569 and 1,941,182

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Solution

The third proportional to 1,278,569 and 1,941,182 is: 2,947,191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278,569 : 1,941,182 = 1,941,182 : x
  2. Step 2: Convert to fraction form
    1,278,569/1,941,182 = 1,941,182/x
  3. Step 3: Cross multiply
    1,278,569x = 1,941,182 × 1,941,182
  4. Step 4: Simplify right side
    1,278,569x = 3,768,187,557,124
  5. Step 5: Solve for x
    x = 3,768,187,557,124/1,278,569
  6. Step 6: Final answer
    x = 2,947,191.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.