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Finding the Third Proportional to 1,073,085 and 2,332,542

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Solution

The third proportional to 1,073,085 and 2,332,542 is: 5,070,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073,085 : 2,332,542 = 2,332,542 : x
  2. Step 2: Convert to fraction form
    1,073,085/2,332,542 = 2,332,542/x
  3. Step 3: Cross multiply
    1,073,085x = 2,332,542 × 2,332,542
  4. Step 4: Simplify right side
    1,073,085x = 5,440,752,181,764
  5. Step 5: Solve for x
    x = 5,440,752,181,764/1,073,085
  6. Step 6: Final answer
    x = 5,070,196.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.