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Finding the Third Proportional to 767,267 and 1,161,561

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Solution

The third proportional to 767,267 and 1,161,561 is: 1,758,480.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,267 : 1,161,561 = 1,161,561 : x
  2. Step 2: Convert to fraction form
    767,267/1,161,561 = 1,161,561/x
  3. Step 3: Cross multiply
    767,267x = 1,161,561 × 1,161,561
  4. Step 4: Simplify right side
    767,267x = 1,349,223,956,721
  5. Step 5: Solve for x
    x = 1,349,223,956,721/767,267
  6. Step 6: Final answer
    x = 1,758,480.37

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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.