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Finding the Third Proportional to 785,682 and 1,177,227

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Solution

The third proportional to 785,682 and 1,177,227 is: 1,763,898.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,682 : 1,177,227 = 1,177,227 : x
  2. Step 2: Convert to fraction form
    785,682/1,177,227 = 1,177,227/x
  3. Step 3: Cross multiply
    785,682x = 1,177,227 × 1,177,227
  4. Step 4: Simplify right side
    785,682x = 1,385,863,409,529
  5. Step 5: Solve for x
    x = 1,385,863,409,529/785,682
  6. Step 6: Final answer
    x = 1,763,898.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.