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Finding the Third Proportional to 448,820 and 968,976

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Solution

The third proportional to 448,820 and 968,976 is: 2,091,962.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,820 : 968,976 = 968,976 : x
  2. Step 2: Convert to fraction form
    448,820/968,976 = 968,976/x
  3. Step 3: Cross multiply
    448,820x = 968,976 × 968,976
  4. Step 4: Simplify right side
    448,820x = 938,914,488,576
  5. Step 5: Solve for x
    x = 938,914,488,576/448,820
  6. Step 6: Final answer
    x = 2,091,962.23

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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.