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Finding the Third Proportional to 2,385,978 and 3,613,698

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Solution

The third proportional to 2,385,978 and 3,613,698 is: 5,473,149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385,978 : 3,613,698 = 3,613,698 : x
  2. Step 2: Convert to fraction form
    2,385,978/3,613,698 = 3,613,698/x
  3. Step 3: Cross multiply
    2,385,978x = 3,613,698 × 3,613,698
  4. Step 4: Simplify right side
    2,385,978x = 13,058,813,235,204
  5. Step 5: Solve for x
    x = 13,058,813,235,204/2,385,978
  6. Step 6: Final answer
    x = 5,473,149.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.