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Finding the Third Proportional to 486,198 and 1,011,114

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Solution

The third proportional to 486,198 and 1,011,114 is: 2,102,747.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,198 : 1,011,114 = 1,011,114 : x
  2. Step 2: Convert to fraction form
    486,198/1,011,114 = 1,011,114/x
  3. Step 3: Cross multiply
    486,198x = 1,011,114 × 1,011,114
  4. Step 4: Simplify right side
    486,198x = 1,022,351,520,996
  5. Step 5: Solve for x
    x = 1,022,351,520,996/486,198
  6. Step 6: Final answer
    x = 2,102,747.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.