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Finding the Third Proportional to 408,906 and 838,219

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Solution

The third proportional to 408,906 and 838,219 is: 1,718,270.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,906 : 838,219 = 838,219 : x
  2. Step 2: Convert to fraction form
    408,906/838,219 = 838,219/x
  3. Step 3: Cross multiply
    408,906x = 838,219 × 838,219
  4. Step 4: Simplify right side
    408,906x = 702,611,091,961
  5. Step 5: Solve for x
    x = 702,611,091,961/408,906
  6. Step 6: Final answer
    x = 1,718,270.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.