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Finding the Third Proportional to 996,867 and 2,135,484

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Solution

The third proportional to 996,867 and 2,135,484 is: 4,574,624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,867 : 2,135,484 = 2,135,484 : x
  2. Step 2: Convert to fraction form
    996,867/2,135,484 = 2,135,484/x
  3. Step 3: Cross multiply
    996,867x = 2,135,484 × 2,135,484
  4. Step 4: Simplify right side
    996,867x = 4,560,291,914,256
  5. Step 5: Solve for x
    x = 4,560,291,914,256/996,867
  6. Step 6: Final answer
    x = 4,574,624.21

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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.