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Finding the Third Proportional to 675,151.50 and 1,466,214

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Solution

The third proportional to 675,151.50 and 1,466,214 is: 3,184,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,151.50 : 1,466,214 = 1,466,214 : x
  2. Step 2: Convert to fraction form
    675,151.50/1,466,214 = 1,466,214/x
  3. Step 3: Cross multiply
    675,151.50x = 1,466,214 × 1,466,214
  4. Step 4: Simplify right side
    675,151.50x = 2,149,783,493,796
  5. Step 5: Solve for x
    x = 2,149,783,493,796/675,151.50
  6. Step 6: Final answer
    x = 3,184,149.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.