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Finding the Third Proportional to 785,738 and 1,229,151

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Solution

The third proportional to 785,738 and 1,229,151 is: 1,922,793.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,738 : 1,229,151 = 1,229,151 : x
  2. Step 2: Convert to fraction form
    785,738/1,229,151 = 1,229,151/x
  3. Step 3: Cross multiply
    785,738x = 1,229,151 × 1,229,151
  4. Step 4: Simplify right side
    785,738x = 1,510,812,180,801
  5. Step 5: Solve for x
    x = 1,510,812,180,801/785,738
  6. Step 6: Final answer
    x = 1,922,793.83

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.