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Finding the Third Proportional to 820,761 and 1,227,846

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Solution

The third proportional to 820,761 and 1,227,846 is: 1,836,838.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,761 : 1,227,846 = 1,227,846 : x
  2. Step 2: Convert to fraction form
    820,761/1,227,846 = 1,227,846/x
  3. Step 3: Cross multiply
    820,761x = 1,227,846 × 1,227,846
  4. Step 4: Simplify right side
    820,761x = 1,507,605,799,716
  5. Step 5: Solve for x
    x = 1,507,605,799,716/820,761
  6. Step 6: Final answer
    x = 1,836,838.98

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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.