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Finding the Third Proportional to 822,380 and 1,198,566

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Solution

The third proportional to 822,380 and 1,198,566 is: 1,746,832.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,380 : 1,198,566 = 1,198,566 : x
  2. Step 2: Convert to fraction form
    822,380/1,198,566 = 1,198,566/x
  3. Step 3: Cross multiply
    822,380x = 1,198,566 × 1,198,566
  4. Step 4: Simplify right side
    822,380x = 1,436,560,456,356
  5. Step 5: Solve for x
    x = 1,436,560,456,356/822,380
  6. Step 6: Final answer
    x = 1,746,832.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.