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Finding the Third Proportional to 448,931 and 997,512

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Solution

The third proportional to 448,931 and 997,512 is: 2,216,443.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,931 : 997,512 = 997,512 : x
  2. Step 2: Convert to fraction form
    448,931/997,512 = 997,512/x
  3. Step 3: Cross multiply
    448,931x = 997,512 × 997,512
  4. Step 4: Simplify right side
    448,931x = 995,030,190,144
  5. Step 5: Solve for x
    x = 995,030,190,144/448,931
  6. Step 6: Final answer
    x = 2,216,443.48

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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.