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Finding the Third Proportional to 819,218 and 1,271,960

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Solution

The third proportional to 819,218 and 1,271,960 is: 1,974,910.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,218 : 1,271,960 = 1,271,960 : x
  2. Step 2: Convert to fraction form
    819,218/1,271,960 = 1,271,960/x
  3. Step 3: Cross multiply
    819,218x = 1,271,960 × 1,271,960
  4. Step 4: Simplify right side
    819,218x = 1,617,882,241,600
  5. Step 5: Solve for x
    x = 1,617,882,241,600/819,218
  6. Step 6: Final answer
    x = 1,974,910.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.