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Finding the Third Proportional to 813,829 and 1,198,257

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Solution

The third proportional to 813,829 and 1,198,257 is: 1,764,277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,829 : 1,198,257 = 1,198,257 : x
  2. Step 2: Convert to fraction form
    813,829/1,198,257 = 1,198,257/x
  3. Step 3: Cross multiply
    813,829x = 1,198,257 × 1,198,257
  4. Step 4: Simplify right side
    813,829x = 1,435,819,838,049
  5. Step 5: Solve for x
    x = 1,435,819,838,049/813,829
  6. Step 6: Final answer
    x = 1,764,277.06

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.