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Finding the Third Proportional to 822,586 and 1,244,249

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Solution

The third proportional to 822,586 and 1,244,249 is: 1,882,059.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,586 : 1,244,249 = 1,244,249 : x
  2. Step 2: Convert to fraction form
    822,586/1,244,249 = 1,244,249/x
  3. Step 3: Cross multiply
    822,586x = 1,244,249 × 1,244,249
  4. Step 4: Simplify right side
    822,586x = 1,548,155,574,001
  5. Step 5: Solve for x
    x = 1,548,155,574,001/822,586
  6. Step 6: Final answer
    x = 1,882,059.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.