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Finding the Third Proportional to 588,469.59 and 1,247,558.20

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Solution

The third proportional to 588,469.59 and 1,247,558.20 is: 2,644,829.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,469.59 : 1,247,558.20 = 1,247,558.20 : x
  2. Step 2: Convert to fraction form
    588,469.59/1,247,558.20 = 1,247,558.20/x
  3. Step 3: Cross multiply
    588,469.59x = 1,247,558.20 × 1,247,558.20
  4. Step 4: Simplify right side
    588,469.59x = 1,556,401,470,184.48
  5. Step 5: Solve for x
    x = 1,556,401,470,184.48/588,469.59
  6. Step 6: Final answer
    x = 2,644,829.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.