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Finding the Third Proportional to 1,467,664 and 2,245,267

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Solution

The third proportional to 1,467,664 and 2,245,267 is: 3,434,862.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467,664 : 2,245,267 = 2,245,267 : x
  2. Step 2: Convert to fraction form
    1,467,664/2,245,267 = 2,245,267/x
  3. Step 3: Cross multiply
    1,467,664x = 2,245,267 × 2,245,267
  4. Step 4: Simplify right side
    1,467,664x = 5,041,223,901,289
  5. Step 5: Solve for x
    x = 5,041,223,901,289/1,467,664
  6. Step 6: Final answer
    x = 3,434,862.41

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.