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Finding the Third Proportional to 1,469,696 and 2,080,200

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Solution

The third proportional to 1,469,696 and 2,080,200 is: 2,944,304.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,696 : 2,080,200 = 2,080,200 : x
  2. Step 2: Convert to fraction form
    1,469,696/2,080,200 = 2,080,200/x
  3. Step 3: Cross multiply
    1,469,696x = 2,080,200 × 2,080,200
  4. Step 4: Simplify right side
    1,469,696x = 4,327,232,040,000
  5. Step 5: Solve for x
    x = 4,327,232,040,000/1,469,696
  6. Step 6: Final answer
    x = 2,944,304.16

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.