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Finding the Third Proportional to 1,407,224 and 2,180,340

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Solution

The third proportional to 1,407,224 and 2,180,340 is: 3,378,198.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,224 : 2,180,340 = 2,180,340 : x
  2. Step 2: Convert to fraction form
    1,407,224/2,180,340 = 2,180,340/x
  3. Step 3: Cross multiply
    1,407,224x = 2,180,340 × 2,180,340
  4. Step 4: Simplify right side
    1,407,224x = 4,753,882,515,600
  5. Step 5: Solve for x
    x = 4,753,882,515,600/1,407,224
  6. Step 6: Final answer
    x = 3,378,198.86

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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.