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Finding the Third Proportional to 2,237,669 and 3,441,450

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Solution

The third proportional to 2,237,669 and 3,441,450 is: 5,292,819.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237,669 : 3,441,450 = 3,441,450 : x
  2. Step 2: Convert to fraction form
    2,237,669/3,441,450 = 3,441,450/x
  3. Step 3: Cross multiply
    2,237,669x = 3,441,450 × 3,441,450
  4. Step 4: Simplify right side
    2,237,669x = 11,843,578,102,500
  5. Step 5: Solve for x
    x = 11,843,578,102,500/2,237,669
  6. Step 6: Final answer
    x = 5,292,819.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.