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Finding the Third Proportional to 514,170 and 1,114,149

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Solution

The third proportional to 514,170 and 1,114,149 is: 2,414,236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,170 : 1,114,149 = 1,114,149 : x
  2. Step 2: Convert to fraction form
    514,170/1,114,149 = 1,114,149/x
  3. Step 3: Cross multiply
    514,170x = 1,114,149 × 1,114,149
  4. Step 4: Simplify right side
    514,170x = 1,241,327,994,201
  5. Step 5: Solve for x
    x = 1,241,327,994,201/514,170
  6. Step 6: Final answer
    x = 2,414,236.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.