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Finding the Third Proportional to 486,274 and 1,011,204

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Solution

The third proportional to 486,274 and 1,011,204 is: 2,102,792.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,274 : 1,011,204 = 1,011,204 : x
  2. Step 2: Convert to fraction form
    486,274/1,011,204 = 1,011,204/x
  3. Step 3: Cross multiply
    486,274x = 1,011,204 × 1,011,204
  4. Step 4: Simplify right side
    486,274x = 1,022,533,529,616
  5. Step 5: Solve for x
    x = 1,022,533,529,616/486,274
  6. Step 6: Final answer
    x = 2,102,792.93

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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.