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Finding the Third Proportional to 524,614.50 and 1,086,540

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Solution

The third proportional to 524,614.50 and 1,086,540 is: 2,250,355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,614.50 : 1,086,540 = 1,086,540 : x
  2. Step 2: Convert to fraction form
    524,614.50/1,086,540 = 1,086,540/x
  3. Step 3: Cross multiply
    524,614.50x = 1,086,540 × 1,086,540
  4. Step 4: Simplify right side
    524,614.50x = 1,180,569,171,600
  5. Step 5: Solve for x
    x = 1,180,569,171,600/524,614.50
  6. Step 6: Final answer
    x = 2,250,355.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.