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Finding the Third Proportional to 767,107 and 1,150,660

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Solution

The third proportional to 767,107 and 1,150,660 is: 1,725,989.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,107 : 1,150,660 = 1,150,660 : x
  2. Step 2: Convert to fraction form
    767,107/1,150,660 = 1,150,660/x
  3. Step 3: Cross multiply
    767,107x = 1,150,660 × 1,150,660
  4. Step 4: Simplify right side
    767,107x = 1,324,018,435,600
  5. Step 5: Solve for x
    x = 1,324,018,435,600/767,107
  6. Step 6: Final answer
    x = 1,725,989.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.