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Finding the Third Proportional to 448,794 and 968,922

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Solution

The third proportional to 448,794 and 968,922 is: 2,091,850.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,794 : 968,922 = 968,922 : x
  2. Step 2: Convert to fraction form
    448,794/968,922 = 968,922/x
  3. Step 3: Cross multiply
    448,794x = 968,922 × 968,922
  4. Step 4: Simplify right side
    448,794x = 938,809,842,084
  5. Step 5: Solve for x
    x = 938,809,842,084/448,794
  6. Step 6: Final answer
    x = 2,091,850.25

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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.