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Finding the Third Proportional to 789,532 and 1,661,567

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Solution

The third proportional to 789,532 and 1,661,567 is: 3,496,761.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,532 : 1,661,567 = 1,661,567 : x
  2. Step 2: Convert to fraction form
    789,532/1,661,567 = 1,661,567/x
  3. Step 3: Cross multiply
    789,532x = 1,661,567 × 1,661,567
  4. Step 4: Simplify right side
    789,532x = 2,760,804,895,489
  5. Step 5: Solve for x
    x = 2,760,804,895,489/789,532
  6. Step 6: Final answer
    x = 3,496,761.24

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Why These Related Problems?

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