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Finding the Third Proportional to 758,781 and 1,143,180

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Solution

The third proportional to 758,781 and 1,143,180 is: 1,722,315.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,781 : 1,143,180 = 1,143,180 : x
  2. Step 2: Convert to fraction form
    758,781/1,143,180 = 1,143,180/x
  3. Step 3: Cross multiply
    758,781x = 1,143,180 × 1,143,180
  4. Step 4: Simplify right side
    758,781x = 1,306,860,512,400
  5. Step 5: Solve for x
    x = 1,306,860,512,400/758,781
  6. Step 6: Final answer
    x = 1,722,315.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.