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Finding the Third Proportional to 509,088 and 1,150,192

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Solution

The third proportional to 509,088 and 1,150,192 is: 2,598,650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,088 : 1,150,192 = 1,150,192 : x
  2. Step 2: Convert to fraction form
    509,088/1,150,192 = 1,150,192/x
  3. Step 3: Cross multiply
    509,088x = 1,150,192 × 1,150,192
  4. Step 4: Simplify right side
    509,088x = 1,322,941,636,864
  5. Step 5: Solve for x
    x = 1,322,941,636,864/509,088
  6. Step 6: Final answer
    x = 2,598,650.21

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