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Finding the Third Proportional to 448,934 and 969,085

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Solution

The third proportional to 448,934 and 969,085 is: 2,091,901.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,934 : 969,085 = 969,085 : x
  2. Step 2: Convert to fraction form
    448,934/969,085 = 969,085/x
  3. Step 3: Cross multiply
    448,934x = 969,085 × 969,085
  4. Step 4: Simplify right side
    448,934x = 939,125,737,225
  5. Step 5: Solve for x
    x = 939,125,737,225/448,934
  6. Step 6: Final answer
    x = 2,091,901.57

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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.