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Finding the Third Proportional to 448,962 and 986,484

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Solution

The third proportional to 448,962 and 986,484 is: 2,167,556.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,962 : 986,484 = 986,484 : x
  2. Step 2: Convert to fraction form
    448,962/986,484 = 986,484/x
  3. Step 3: Cross multiply
    448,962x = 986,484 × 986,484
  4. Step 4: Simplify right side
    448,962x = 973,150,682,256
  5. Step 5: Solve for x
    x = 973,150,682,256/448,962
  6. Step 6: Final answer
    x = 2,167,556.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.