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Finding the Third Proportional to 804,519 and 1,675,782

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Solution

The third proportional to 804,519 and 1,675,782 is: 3,490,589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,519 : 1,675,782 = 1,675,782 : x
  2. Step 2: Convert to fraction form
    804,519/1,675,782 = 1,675,782/x
  3. Step 3: Cross multiply
    804,519x = 1,675,782 × 1,675,782
  4. Step 4: Simplify right side
    804,519x = 2,808,245,311,524
  5. Step 5: Solve for x
    x = 2,808,245,311,524/804,519
  6. Step 6: Final answer
    x = 3,490,589.17

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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.