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Finding the Third Proportional to 448,824 and 968,979

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Solution

The third proportional to 448,824 and 968,979 is: 2,091,956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,824 : 968,979 = 968,979 : x
  2. Step 2: Convert to fraction form
    448,824/968,979 = 968,979/x
  3. Step 3: Cross multiply
    448,824x = 968,979 × 968,979
  4. Step 4: Simplify right side
    448,824x = 938,920,302,441
  5. Step 5: Solve for x
    x = 938,920,302,441/448,824
  6. Step 6: Final answer
    x = 2,091,956.54

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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.