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Finding the Third Proportional to 628,677 and 1,286,406

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Solution

The third proportional to 628,677 and 1,286,406 is: 2,632,258.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,677 : 1,286,406 = 1,286,406 : x
  2. Step 2: Convert to fraction form
    628,677/1,286,406 = 1,286,406/x
  3. Step 3: Cross multiply
    628,677x = 1,286,406 × 1,286,406
  4. Step 4: Simplify right side
    628,677x = 1,654,840,396,836
  5. Step 5: Solve for x
    x = 1,654,840,396,836/628,677
  6. Step 6: Final answer
    x = 2,632,258.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.