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Finding the Third Proportional to 486,286 and 1,011,228

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Solution

The third proportional to 486,286 and 1,011,228 is: 2,102,840.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,286 : 1,011,228 = 1,011,228 : x
  2. Step 2: Convert to fraction form
    486,286/1,011,228 = 1,011,228/x
  3. Step 3: Cross multiply
    486,286x = 1,011,228 × 1,011,228
  4. Step 4: Simplify right side
    486,286x = 1,022,582,067,984
  5. Step 5: Solve for x
    x = 1,022,582,067,984/486,286
  6. Step 6: Final answer
    x = 2,102,840.85

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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.