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Finding the Third Proportional to 486,204 and 1,011,390

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Solution

The third proportional to 486,204 and 1,011,390 is: 2,103,869.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,204 : 1,011,390 = 1,011,390 : x
  2. Step 2: Convert to fraction form
    486,204/1,011,390 = 1,011,390/x
  3. Step 3: Cross multiply
    486,204x = 1,011,390 × 1,011,390
  4. Step 4: Simplify right side
    486,204x = 1,022,909,732,100
  5. Step 5: Solve for x
    x = 1,022,909,732,100/486,204
  6. Step 6: Final answer
    x = 2,103,869.43

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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.