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Finding the Third Proportional to 1,261,789 and 2,736,540

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Solution

The third proportional to 1,261,789 and 2,736,540 is: 5,934,947.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261,789 : 2,736,540 = 2,736,540 : x
  2. Step 2: Convert to fraction form
    1,261,789/2,736,540 = 2,736,540/x
  3. Step 3: Cross multiply
    1,261,789x = 2,736,540 × 2,736,540
  4. Step 4: Simplify right side
    1,261,789x = 7,488,651,171,600
  5. Step 5: Solve for x
    x = 7,488,651,171,600/1,261,789
  6. Step 6: Final answer
    x = 5,934,947.26

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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.