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Finding the Third Proportional to 509,172.75 and 1,060,182

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Solution

The third proportional to 509,172.75 and 1,060,182 is: 2,207,474.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,172.75 : 1,060,182 = 1,060,182 : x
  2. Step 2: Convert to fraction form
    509,172.75/1,060,182 = 1,060,182/x
  3. Step 3: Cross multiply
    509,172.75x = 1,060,182 × 1,060,182
  4. Step 4: Simplify right side
    509,172.75x = 1,123,985,873,124
  5. Step 5: Solve for x
    x = 1,123,985,873,124/509,172.75
  6. Step 6: Final answer
    x = 2,207,474.52

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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.