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Finding the Third Proportional to 2,687,850 and 4,161,780

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Solution

The third proportional to 2,687,850 and 4,161,780 is: 6,443,965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687,850 : 4,161,780 = 4,161,780 : x
  2. Step 2: Convert to fraction form
    2,687,850/4,161,780 = 4,161,780/x
  3. Step 3: Cross multiply
    2,687,850x = 4,161,780 × 4,161,780
  4. Step 4: Simplify right side
    2,687,850x = 17,320,412,768,400
  5. Step 5: Solve for x
    x = 17,320,412,768,400/2,687,850
  6. Step 6: Final answer
    x = 6,443,965.54

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.