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Finding the Third Proportional to 1,016,801 and 2,191,200

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Solution

The third proportional to 1,016,801 and 2,191,200 is: 4,722,022.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,801 : 2,191,200 = 2,191,200 : x
  2. Step 2: Convert to fraction form
    1,016,801/2,191,200 = 2,191,200/x
  3. Step 3: Cross multiply
    1,016,801x = 2,191,200 × 2,191,200
  4. Step 4: Simplify right side
    1,016,801x = 4,801,357,440,000
  5. Step 5: Solve for x
    x = 4,801,357,440,000/1,016,801
  6. Step 6: Final answer
    x = 4,722,022.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.