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Finding the Third Proportional to 838,866 and 1,334,307

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Solution

The third proportional to 838,866 and 1,334,307 is: 2,122,359.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,866 : 1,334,307 = 1,334,307 : x
  2. Step 2: Convert to fraction form
    838,866/1,334,307 = 1,334,307/x
  3. Step 3: Cross multiply
    838,866x = 1,334,307 × 1,334,307
  4. Step 4: Simplify right side
    838,866x = 1,780,375,170,249
  5. Step 5: Solve for x
    x = 1,780,375,170,249/838,866
  6. Step 6: Final answer
    x = 2,122,359.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.