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Finding the Third Proportional to 1,003,400 and 2,142,876

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Solution

The third proportional to 1,003,400 and 2,142,876 is: 4,576,357.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,400 : 2,142,876 = 2,142,876 : x
  2. Step 2: Convert to fraction form
    1,003,400/2,142,876 = 2,142,876/x
  3. Step 3: Cross multiply
    1,003,400x = 2,142,876 × 2,142,876
  4. Step 4: Simplify right side
    1,003,400x = 4,591,917,551,376
  5. Step 5: Solve for x
    x = 4,591,917,551,376/1,003,400
  6. Step 6: Final answer
    x = 4,576,357.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.