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Finding the Third Proportional to 600,668 and 1,277,638

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Solution

The third proportional to 600,668 and 1,277,638 is: 2,717,572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,668 : 1,277,638 = 1,277,638 : x
  2. Step 2: Convert to fraction form
    600,668/1,277,638 = 1,277,638/x
  3. Step 3: Cross multiply
    600,668x = 1,277,638 × 1,277,638
  4. Step 4: Simplify right side
    600,668x = 1,632,358,859,044
  5. Step 5: Solve for x
    x = 1,632,358,859,044/600,668
  6. Step 6: Final answer
    x = 2,717,572.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.