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Finding the Third Proportional to 2,722,224 and 4,178,511

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Solution

The third proportional to 2,722,224 and 4,178,511 is: 6,413,856.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722,224 : 4,178,511 = 4,178,511 : x
  2. Step 2: Convert to fraction form
    2,722,224/4,178,511 = 4,178,511/x
  3. Step 3: Cross multiply
    2,722,224x = 4,178,511 × 4,178,511
  4. Step 4: Simplify right side
    2,722,224x = 17,459,954,177,121
  5. Step 5: Solve for x
    x = 17,459,954,177,121/2,722,224
  6. Step 6: Final answer
    x = 6,413,856.53

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Why These Related Problems?

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