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Finding the Third Proportional to 1,024,212 and 1,591,330

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Solution

The third proportional to 1,024,212 and 1,591,330 is: 2,472,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,212 : 1,591,330 = 1,591,330 : x
  2. Step 2: Convert to fraction form
    1,024,212/1,591,330 = 1,591,330/x
  3. Step 3: Cross multiply
    1,024,212x = 1,591,330 × 1,591,330
  4. Step 4: Simplify right side
    1,024,212x = 2,532,331,168,900
  5. Step 5: Solve for x
    x = 2,532,331,168,900/1,024,212
  6. Step 6: Final answer
    x = 2,472,467.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.