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Finding the Third Proportional to 821,439 and 1,228,797

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Solution

The third proportional to 821,439 and 1,228,797 is: 1,838,167.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,439 : 1,228,797 = 1,228,797 : x
  2. Step 2: Convert to fraction form
    821,439/1,228,797 = 1,228,797/x
  3. Step 3: Cross multiply
    821,439x = 1,228,797 × 1,228,797
  4. Step 4: Simplify right side
    821,439x = 1,509,942,067,209
  5. Step 5: Solve for x
    x = 1,509,942,067,209/821,439
  6. Step 6: Final answer
    x = 1,838,167.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.