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Finding the Third Proportional to 3,831,708 and 6,385,923

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Solution

The third proportional to 3,831,708 and 6,385,923 is: 10,642,776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831,708 : 6,385,923 = 6,385,923 : x
  2. Step 2: Convert to fraction form
    3,831,708/6,385,923 = 6,385,923/x
  3. Step 3: Cross multiply
    3,831,708x = 6,385,923 × 6,385,923
  4. Step 4: Simplify right side
    3,831,708x = 40,780,012,561,929
  5. Step 5: Solve for x
    x = 40,780,012,561,929/3,831,708
  6. Step 6: Final answer
    x = 10,642,776.68

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.