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Finding the Third Proportional to 739,880 and 1,107,794

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Solution

The third proportional to 739,880 and 1,107,794 is: 1,658,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,880 : 1,107,794 = 1,107,794 : x
  2. Step 2: Convert to fraction form
    739,880/1,107,794 = 1,107,794/x
  3. Step 3: Cross multiply
    739,880x = 1,107,794 × 1,107,794
  4. Step 4: Simplify right side
    739,880x = 1,227,207,546,436
  5. Step 5: Solve for x
    x = 1,227,207,546,436/739,880
  6. Step 6: Final answer
    x = 1,658,657.55

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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.