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Finding the Third Proportional to 1,434,801 and 2,197,399

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Solution

The third proportional to 1,434,801 and 2,197,399 is: 3,365,318.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434,801 : 2,197,399 = 2,197,399 : x
  2. Step 2: Convert to fraction form
    1,434,801/2,197,399 = 2,197,399/x
  3. Step 3: Cross multiply
    1,434,801x = 2,197,399 × 2,197,399
  4. Step 4: Simplify right side
    1,434,801x = 4,828,562,365,201
  5. Step 5: Solve for x
    x = 4,828,562,365,201/1,434,801
  6. Step 6: Final answer
    x = 3,365,318.51

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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.