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Finding the Third Proportional to 1,006,585.50 and 1,524,540

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Solution

The third proportional to 1,006,585.50 and 1,524,540 is: 2,309,016.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,585.50 : 1,524,540 = 1,524,540 : x
  2. Step 2: Convert to fraction form
    1,006,585.50/1,524,540 = 1,524,540/x
  3. Step 3: Cross multiply
    1,006,585.50x = 1,524,540 × 1,524,540
  4. Step 4: Simplify right side
    1,006,585.50x = 2,324,222,211,600
  5. Step 5: Solve for x
    x = 2,324,222,211,600/1,006,585.50
  6. Step 6: Final answer
    x = 2,309,016.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.