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Finding the Third Proportional to 1,434,800 and 2,197,398

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Solution

The third proportional to 1,434,800 and 2,197,398 is: 3,365,317.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434,800 : 2,197,398 = 2,197,398 : x
  2. Step 2: Convert to fraction form
    1,434,800/2,197,398 = 2,197,398/x
  3. Step 3: Cross multiply
    1,434,800x = 2,197,398 × 2,197,398
  4. Step 4: Simplify right side
    1,434,800x = 4,828,557,970,404
  5. Step 5: Solve for x
    x = 4,828,557,970,404/1,434,800
  6. Step 6: Final answer
    x = 3,365,317.79

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.