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Finding the Third Proportional to 509,074 and 1,150,157

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Solution

The third proportional to 509,074 and 1,150,157 is: 2,598,563.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,074 : 1,150,157 = 1,150,157 : x
  2. Step 2: Convert to fraction form
    509,074/1,150,157 = 1,150,157/x
  3. Step 3: Cross multiply
    509,074x = 1,150,157 × 1,150,157
  4. Step 4: Simplify right side
    509,074x = 1,322,861,124,649
  5. Step 5: Solve for x
    x = 1,322,861,124,649/509,074
  6. Step 6: Final answer
    x = 2,598,563.52

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.