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Finding the Third Proportional to 1,204,753 and 1,766,893

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Solution

The third proportional to 1,204,753 and 1,766,893 is: 2,591,328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,753 : 1,766,893 = 1,766,893 : x
  2. Step 2: Convert to fraction form
    1,204,753/1,766,893 = 1,766,893/x
  3. Step 3: Cross multiply
    1,204,753x = 1,766,893 × 1,766,893
  4. Step 4: Simplify right side
    1,204,753x = 3,121,910,873,449
  5. Step 5: Solve for x
    x = 3,121,910,873,449/1,204,753
  6. Step 6: Final answer
    x = 2,591,328.57

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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.