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Finding the Third Proportional to 2,281,137.19 and 3,530,906.44

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Solution

The third proportional to 2,281,137.19 and 3,530,906.44 is: 5,465,388.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281,137.19 : 3,530,906.44 = 3,530,906.44 : x
  2. Step 2: Convert to fraction form
    2,281,137.19/3,530,906.44 = 3,530,906.44/x
  3. Step 3: Cross multiply
    2,281,137.19x = 3,530,906.44 × 3,530,906.44
  4. Step 4: Simplify right side
    2,281,137.19x = 12,467,300,270,378.94
  5. Step 5: Solve for x
    x = 12,467,300,270,378.94/2,281,137.19
  6. Step 6: Final answer
    x = 5,465,388.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.