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Finding the Third Proportional to 448,978 and 997,599

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Solution

The third proportional to 448,978 and 997,599 is: 2,216,598.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,978 : 997,599 = 997,599 : x
  2. Step 2: Convert to fraction form
    448,978/997,599 = 997,599/x
  3. Step 3: Cross multiply
    448,978x = 997,599 × 997,599
  4. Step 4: Simplify right side
    448,978x = 995,203,764,801
  5. Step 5: Solve for x
    x = 995,203,764,801/448,978
  6. Step 6: Final answer
    x = 2,216,598.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.