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Finding the Third Proportional to 448,758 and 968,867

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Solution

The third proportional to 448,758 and 968,867 is: 2,091,780.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,758 : 968,867 = 968,867 : x
  2. Step 2: Convert to fraction form
    448,758/968,867 = 968,867/x
  3. Step 3: Cross multiply
    448,758x = 968,867 × 968,867
  4. Step 4: Simplify right side
    448,758x = 938,703,263,689
  5. Step 5: Solve for x
    x = 938,703,263,689/448,758
  6. Step 6: Final answer
    x = 2,091,780.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.