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Finding the Third Proportional to 2,242,612 and 3,363,214

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Solution

The third proportional to 2,242,612 and 3,363,214 is: 5,043,765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242,612 : 3,363,214 = 3,363,214 : x
  2. Step 2: Convert to fraction form
    2,242,612/3,363,214 = 3,363,214/x
  3. Step 3: Cross multiply
    2,242,612x = 3,363,214 × 3,363,214
  4. Step 4: Simplify right side
    2,242,612x = 11,311,208,409,796
  5. Step 5: Solve for x
    x = 11,311,208,409,796/2,242,612
  6. Step 6: Final answer
    x = 5,043,765.22

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