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Finding the Third Proportional to 3,327,778 and 4,866,867

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Solution

The third proportional to 3,327,778 and 4,866,867 is: 7,117,780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,327,778 : 4,866,867 = 4,866,867 : x
  2. Step 2: Convert to fraction form
    3,327,778/4,866,867 = 4,866,867/x
  3. Step 3: Cross multiply
    3,327,778x = 4,866,867 × 4,866,867
  4. Step 4: Simplify right side
    3,327,778x = 23,686,394,395,689
  5. Step 5: Solve for x
    x = 23,686,394,395,689/3,327,778
  6. Step 6: Final answer
    x = 7,117,780.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.