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Finding the Third Proportional to 1,529,200 and 3,324,224

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Solution

The third proportional to 1,529,200 and 3,324,224 is: 7,226,304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529,200 : 3,324,224 = 3,324,224 : x
  2. Step 2: Convert to fraction form
    1,529,200/3,324,224 = 3,324,224/x
  3. Step 3: Cross multiply
    1,529,200x = 3,324,224 × 3,324,224
  4. Step 4: Simplify right side
    1,529,200x = 11,050,465,202,176
  5. Step 5: Solve for x
    x = 11,050,465,202,176/1,529,200
  6. Step 6: Final answer
    x = 7,226,304.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.