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Finding the Third Proportional to 512,874.28 and 1,187,211.94

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Solution

The third proportional to 512,874.28 and 1,187,211.94 is: 2,748,182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,874.28 : 1,187,211.94 = 1,187,211.94 : x
  2. Step 2: Convert to fraction form
    512,874.28/1,187,211.94 = 1,187,211.94/x
  3. Step 3: Cross multiply
    512,874.28x = 1,187,211.94 × 1,187,211.94
  4. Step 4: Simplify right side
    512,874.28x = 1,409,472,184,542.50
  5. Step 5: Solve for x
    x = 1,409,472,184,542.50/512,874.28
  6. Step 6: Final answer
    x = 2,748,182.62

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.