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Finding the Third Proportional to 838,296 and 1,810,512

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Solution

The third proportional to 838,296 and 1,810,512 is: 3,910,258.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,296 : 1,810,512 = 1,810,512 : x
  2. Step 2: Convert to fraction form
    838,296/1,810,512 = 1,810,512/x
  3. Step 3: Cross multiply
    838,296x = 1,810,512 × 1,810,512
  4. Step 4: Simplify right side
    838,296x = 3,277,953,702,144
  5. Step 5: Solve for x
    x = 3,277,953,702,144/838,296
  6. Step 6: Final answer
    x = 3,910,258.07

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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.