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Finding the Third Proportional to 844,800 and 1,759,491

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Solution

The third proportional to 844,800 and 1,759,491 is: 3,664,546.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,800 : 1,759,491 = 1,759,491 : x
  2. Step 2: Convert to fraction form
    844,800/1,759,491 = 1,759,491/x
  3. Step 3: Cross multiply
    844,800x = 1,759,491 × 1,759,491
  4. Step 4: Simplify right side
    844,800x = 3,095,808,579,081
  5. Step 5: Solve for x
    x = 3,095,808,579,081/844,800
  6. Step 6: Final answer
    x = 3,664,546.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.