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Finding the Third Proportional to 2,242,584.75 and 3,363,186

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Solution

The third proportional to 2,242,584.75 and 3,363,186 is: 5,043,742.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242,584.75 : 3,363,186 = 3,363,186 : x
  2. Step 2: Convert to fraction form
    2,242,584.75/3,363,186 = 3,363,186/x
  3. Step 3: Cross multiply
    2,242,584.75x = 3,363,186 × 3,363,186
  4. Step 4: Simplify right side
    2,242,584.75x = 11,311,020,070,596
  5. Step 5: Solve for x
    x = 11,311,020,070,596/2,242,584.75
  6. Step 6: Final answer
    x = 5,043,742.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.