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Finding the Third Proportional to 3,997,722 and 6,140,991

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Solution

The third proportional to 3,997,722 and 6,140,991 is: 9,433,314.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997,722 : 6,140,991 = 6,140,991 : x
  2. Step 2: Convert to fraction form
    3,997,722/6,140,991 = 6,140,991/x
  3. Step 3: Cross multiply
    3,997,722x = 6,140,991 × 6,140,991
  4. Step 4: Simplify right side
    3,997,722x = 37,711,770,462,081
  5. Step 5: Solve for x
    x = 37,711,770,462,081/3,997,722
  6. Step 6: Final answer
    x = 9,433,314.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.