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Finding the Third Proportional to 486,081 and 1,009,503

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Solution

The third proportional to 486,081 and 1,009,503 is: 2,096,556.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,081 : 1,009,503 = 1,009,503 : x
  2. Step 2: Convert to fraction form
    486,081/1,009,503 = 1,009,503/x
  3. Step 3: Cross multiply
    486,081x = 1,009,503 × 1,009,503
  4. Step 4: Simplify right side
    486,081x = 1,019,096,307,009
  5. Step 5: Solve for x
    x = 1,019,096,307,009/486,081
  6. Step 6: Final answer
    x = 2,096,556.56

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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.