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Finding the Third Proportional to 765,180 and 1,675,809

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Solution

The third proportional to 765,180 and 1,675,809 is: 3,670,163.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,180 : 1,675,809 = 1,675,809 : x
  2. Step 2: Convert to fraction form
    765,180/1,675,809 = 1,675,809/x
  3. Step 3: Cross multiply
    765,180x = 1,675,809 × 1,675,809
  4. Step 4: Simplify right side
    765,180x = 2,808,335,804,481
  5. Step 5: Solve for x
    x = 2,808,335,804,481/765,180
  6. Step 6: Final answer
    x = 3,670,163.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.