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Finding the Third Proportional to 1,467,744 and 2,216,400

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Solution

The third proportional to 1,467,744 and 2,216,400 is: 3,346,924.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467,744 : 2,216,400 = 2,216,400 : x
  2. Step 2: Convert to fraction form
    1,467,744/2,216,400 = 2,216,400/x
  3. Step 3: Cross multiply
    1,467,744x = 2,216,400 × 2,216,400
  4. Step 4: Simplify right side
    1,467,744x = 4,912,428,960,000
  5. Step 5: Solve for x
    x = 4,912,428,960,000/1,467,744
  6. Step 6: Final answer
    x = 3,346,924.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.