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Finding the Third Proportional to 509,183.72 and 1,060,219.13

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Solution

The third proportional to 509,183.72 and 1,060,219.13 is: 2,207,581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,183.72 : 1,060,219.13 = 1,060,219.13 : x
  2. Step 2: Convert to fraction form
    509,183.72/1,060,219.13 = 1,060,219.13/x
  3. Step 3: Cross multiply
    509,183.72x = 1,060,219.13 × 1,060,219.13
  4. Step 4: Simplify right side
    509,183.72x = 1,124,064,593,015.77
  5. Step 5: Solve for x
    x = 1,124,064,593,015.77/509,183.72
  6. Step 6: Final answer
    x = 2,207,581.57

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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.