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Finding the Third Proportional to 665,206 and 1,459,180

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Solution

The third proportional to 665,206 and 1,459,180 is: 3,200,822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,206 : 1,459,180 = 1,459,180 : x
  2. Step 2: Convert to fraction form
    665,206/1,459,180 = 1,459,180/x
  3. Step 3: Cross multiply
    665,206x = 1,459,180 × 1,459,180
  4. Step 4: Simplify right side
    665,206x = 2,129,206,272,400
  5. Step 5: Solve for x
    x = 2,129,206,272,400/665,206
  6. Step 6: Final answer
    x = 3,200,822.41

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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.