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Finding the Third Proportional to 1,206,498 and 1,769,151

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Solution

The third proportional to 1,206,498 and 1,769,151 is: 2,594,198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,498 : 1,769,151 = 1,769,151 : x
  2. Step 2: Convert to fraction form
    1,206,498/1,769,151 = 1,769,151/x
  3. Step 3: Cross multiply
    1,206,498x = 1,769,151 × 1,769,151
  4. Step 4: Simplify right side
    1,206,498x = 3,129,895,260,801
  5. Step 5: Solve for x
    x = 3,129,895,260,801/1,206,498
  6. Step 6: Final answer
    x = 2,594,198.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.