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Finding the Third Proportional to 3,022,969 and 4,680,496

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Solution

The third proportional to 3,022,969 and 4,680,496 is: 7,246,863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022,969 : 4,680,496 = 4,680,496 : x
  2. Step 2: Convert to fraction form
    3,022,969/4,680,496 = 4,680,496/x
  3. Step 3: Cross multiply
    3,022,969x = 4,680,496 × 4,680,496
  4. Step 4: Simplify right side
    3,022,969x = 21,907,042,806,016
  5. Step 5: Solve for x
    x = 21,907,042,806,016/3,022,969
  6. Step 6: Final answer
    x = 7,246,863.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.