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Finding the Third Proportional to 813,824 and 1,198,251

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Solution

The third proportional to 813,824 and 1,198,251 is: 1,764,270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,824 : 1,198,251 = 1,198,251 : x
  2. Step 2: Convert to fraction form
    813,824/1,198,251 = 1,198,251/x
  3. Step 3: Cross multiply
    813,824x = 1,198,251 × 1,198,251
  4. Step 4: Simplify right side
    813,824x = 1,435,805,459,001
  5. Step 5: Solve for x
    x = 1,435,805,459,001/813,824
  6. Step 6: Final answer
    x = 1,764,270.23

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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.