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Finding the Third Proportional to 789,538 and 1,661,580

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Solution

The third proportional to 789,538 and 1,661,580 is: 3,496,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,538 : 1,661,580 = 1,661,580 : x
  2. Step 2: Convert to fraction form
    789,538/1,661,580 = 1,661,580/x
  3. Step 3: Cross multiply
    789,538x = 1,661,580 × 1,661,580
  4. Step 4: Simplify right side
    789,538x = 2,760,848,096,400
  5. Step 5: Solve for x
    x = 2,760,848,096,400/789,538
  6. Step 6: Final answer
    x = 3,496,789.38

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.