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Finding the Third Proportional to 823,970 and 1,273,286

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Solution

The third proportional to 823,970 and 1,273,286 is: 1,967,616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,970 : 1,273,286 = 1,273,286 : x
  2. Step 2: Convert to fraction form
    823,970/1,273,286 = 1,273,286/x
  3. Step 3: Cross multiply
    823,970x = 1,273,286 × 1,273,286
  4. Step 4: Simplify right side
    823,970x = 1,621,257,237,796
  5. Step 5: Solve for x
    x = 1,621,257,237,796/823,970
  6. Step 6: Final answer
    x = 1,967,616.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.