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Finding the Third Proportional to 509,195 and 1,059,817

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Solution

The third proportional to 509,195 and 1,059,817 is: 2,205,858.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,195 : 1,059,817 = 1,059,817 : x
  2. Step 2: Convert to fraction form
    509,195/1,059,817 = 1,059,817/x
  3. Step 3: Cross multiply
    509,195x = 1,059,817 × 1,059,817
  4. Step 4: Simplify right side
    509,195x = 1,123,212,073,489
  5. Step 5: Solve for x
    x = 1,123,212,073,489/509,195
  6. Step 6: Final answer
    x = 2,205,858.41

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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.