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Finding the Third Proportional to 783,744 and 1,176,672

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Solution

The third proportional to 783,744 and 1,176,672 is: 1,766,593.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,744 : 1,176,672 = 1,176,672 : x
  2. Step 2: Convert to fraction form
    783,744/1,176,672 = 1,176,672/x
  3. Step 3: Cross multiply
    783,744x = 1,176,672 × 1,176,672
  4. Step 4: Simplify right side
    783,744x = 1,384,556,995,584
  5. Step 5: Solve for x
    x = 1,384,556,995,584/783,744
  6. Step 6: Final answer
    x = 1,766,593.42

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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.