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Finding the Third Proportional to 2,037,201 and 4,317,249

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Solution

The third proportional to 2,037,201 and 4,317,249 is: 9,149,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037,201 : 4,317,249 = 4,317,249 : x
  2. Step 2: Convert to fraction form
    2,037,201/4,317,249 = 4,317,249/x
  3. Step 3: Cross multiply
    2,037,201x = 4,317,249 × 4,317,249
  4. Step 4: Simplify right side
    2,037,201x = 18,638,638,928,001
  5. Step 5: Solve for x
    x = 18,638,638,928,001/2,037,201
  6. Step 6: Final answer
    x = 9,149,140.87

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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.