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Finding the Third Proportional to 1,200,488 and 2,561,680

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Solution

The third proportional to 1,200,488 and 2,561,680 is: 5,466,280.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,488 : 2,561,680 = 2,561,680 : x
  2. Step 2: Convert to fraction form
    1,200,488/2,561,680 = 2,561,680/x
  3. Step 3: Cross multiply
    1,200,488x = 2,561,680 × 2,561,680
  4. Step 4: Simplify right side
    1,200,488x = 6,562,204,422,400
  5. Step 5: Solve for x
    x = 6,562,204,422,400/1,200,488
  6. Step 6: Final answer
    x = 5,466,280.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.