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Finding the Third Proportional to 838,234 and 1,715,204

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Solution

The third proportional to 838,234 and 1,715,204 is: 3,509,670.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,234 : 1,715,204 = 1,715,204 : x
  2. Step 2: Convert to fraction form
    838,234/1,715,204 = 1,715,204/x
  3. Step 3: Cross multiply
    838,234x = 1,715,204 × 1,715,204
  4. Step 4: Simplify right side
    838,234x = 2,941,924,761,616
  5. Step 5: Solve for x
    x = 2,941,924,761,616/838,234
  6. Step 6: Final answer
    x = 3,509,670.05

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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.