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Finding the Third Proportional to 814,210 and 1,736,626

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Solution

The third proportional to 814,210 and 1,736,626 is: 3,704,044.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,210 : 1,736,626 = 1,736,626 : x
  2. Step 2: Convert to fraction form
    814,210/1,736,626 = 1,736,626/x
  3. Step 3: Cross multiply
    814,210x = 1,736,626 × 1,736,626
  4. Step 4: Simplify right side
    814,210x = 3,015,869,863,876
  5. Step 5: Solve for x
    x = 3,015,869,863,876/814,210
  6. Step 6: Final answer
    x = 3,704,044.24

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.