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Finding the Third Proportional to 814,208 and 1,736,622

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Solution

The third proportional to 814,208 and 1,736,622 is: 3,704,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,208 : 1,736,622 = 1,736,622 : x
  2. Step 2: Convert to fraction form
    814,208/1,736,622 = 1,736,622/x
  3. Step 3: Cross multiply
    814,208x = 1,736,622 × 1,736,622
  4. Step 4: Simplify right side
    814,208x = 3,015,855,970,884
  5. Step 5: Solve for x
    x = 3,015,855,970,884/814,208
  6. Step 6: Final answer
    x = 3,704,036.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.