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Finding the Third Proportional to 514,932.75 and 1,076,919.75

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Solution

The third proportional to 514,932.75 and 1,076,919.75 is: 2,252,247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,932.75 : 1,076,919.75 = 1,076,919.75 : x
  2. Step 2: Convert to fraction form
    514,932.75/1,076,919.75 = 1,076,919.75/x
  3. Step 3: Cross multiply
    514,932.75x = 1,076,919.75 × 1,076,919.75
  4. Step 4: Simplify right side
    514,932.75x = 1,159,756,147,940.06
  5. Step 5: Solve for x
    x = 1,159,756,147,940.06/514,932.75
  6. Step 6: Final answer
    x = 2,252,247.79

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.