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Finding the Third Proportional to 665,180 and 1,459,114

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Solution

The third proportional to 665,180 and 1,459,114 is: 3,200,657.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,180 : 1,459,114 = 1,459,114 : x
  2. Step 2: Convert to fraction form
    665,180/1,459,114 = 1,459,114/x
  3. Step 3: Cross multiply
    665,180x = 1,459,114 × 1,459,114
  4. Step 4: Simplify right side
    665,180x = 2,129,013,664,996
  5. Step 5: Solve for x
    x = 2,129,013,664,996/665,180
  6. Step 6: Final answer
    x = 3,200,657.96

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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.