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Finding the Third Proportional to 516,549.89 and 1,206,228.03

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Solution

The third proportional to 516,549.89 and 1,206,228.03 is: 2,816,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,549.89 : 1,206,228.03 = 1,206,228.03 : x
  2. Step 2: Convert to fraction form
    516,549.89/1,206,228.03 = 1,206,228.03/x
  3. Step 3: Cross multiply
    516,549.89x = 1,206,228.03 × 1,206,228.03
  4. Step 4: Simplify right side
    516,549.89x = 1,454,986,065,729.01
  5. Step 5: Solve for x
    x = 1,454,986,065,729.01/516,549.89
  6. Step 6: Final answer
    x = 2,816,738.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.