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Finding the Third Proportional to 3,831,697.50 and 6,385,908

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Solution

The third proportional to 3,831,697.50 and 6,385,908 is: 10,642,755.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831,697.50 : 6,385,908 = 6,385,908 : x
  2. Step 2: Convert to fraction form
    3,831,697.50/6,385,908 = 6,385,908/x
  3. Step 3: Cross multiply
    3,831,697.50x = 6,385,908 × 6,385,908
  4. Step 4: Simplify right side
    3,831,697.50x = 40,779,820,984,464
  5. Step 5: Solve for x
    x = 40,779,820,984,464/3,831,697.50
  6. Step 6: Final answer
    x = 10,642,755.85

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