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Finding the Third Proportional to 3,690,676 and 4,968,351

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Solution

The third proportional to 3,690,676 and 4,968,351 is: 6,688,344.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690,676 : 4,968,351 = 4,968,351 : x
  2. Step 2: Convert to fraction form
    3,690,676/4,968,351 = 4,968,351/x
  3. Step 3: Cross multiply
    3,690,676x = 4,968,351 × 4,968,351
  4. Step 4: Simplify right side
    3,690,676x = 24,684,511,659,201
  5. Step 5: Solve for x
    x = 24,684,511,659,201/3,690,676
  6. Step 6: Final answer
    x = 6,688,344.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.