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Finding the Third Proportional to 820,850 and 1,231,299

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Solution

The third proportional to 820,850 and 1,231,299 is: 1,846,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,850 : 1,231,299 = 1,231,299 : x
  2. Step 2: Convert to fraction form
    820,850/1,231,299 = 1,231,299/x
  3. Step 3: Cross multiply
    820,850x = 1,231,299 × 1,231,299
  4. Step 4: Simplify right side
    820,850x = 1,516,097,227,401
  5. Step 5: Solve for x
    x = 1,516,097,227,401/820,850
  6. Step 6: Final answer
    x = 1,846,984.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.