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Finding the Third Proportional to 712,912.22 and 1,585,216.83

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Solution

The third proportional to 712,912.22 and 1,585,216.83 is: 3,524,855.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,912.22 : 1,585,216.83 = 1,585,216.83 : x
  2. Step 2: Convert to fraction form
    712,912.22/1,585,216.83 = 1,585,216.83/x
  3. Step 3: Cross multiply
    712,912.22x = 1,585,216.83 × 1,585,216.83
  4. Step 4: Simplify right side
    712,912.22x = 2,512,912,392,170.69
  5. Step 5: Solve for x
    x = 2,512,912,392,170.69/712,912.22
  6. Step 6: Final answer
    x = 3,524,855.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.