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Finding the Third Proportional to 789,399 and 1,661,321

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Solution

The third proportional to 789,399 and 1,661,321 is: 3,496,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,399 : 1,661,321 = 1,661,321 : x
  2. Step 2: Convert to fraction form
    789,399/1,661,321 = 1,661,321/x
  3. Step 3: Cross multiply
    789,399x = 1,661,321 × 1,661,321
  4. Step 4: Simplify right side
    789,399x = 2,759,987,465,041
  5. Step 5: Solve for x
    x = 2,759,987,465,041/789,399
  6. Step 6: Final answer
    x = 3,496,314.87

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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.