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Finding the Third Proportional to 2,724,720 and 4,124,812

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Solution

The third proportional to 2,724,720 and 4,124,812 is: 6,244,338.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724,720 : 4,124,812 = 4,124,812 : x
  2. Step 2: Convert to fraction form
    2,724,720/4,124,812 = 4,124,812/x
  3. Step 3: Cross multiply
    2,724,720x = 4,124,812 × 4,124,812
  4. Step 4: Simplify right side
    2,724,720x = 17,014,074,035,344
  5. Step 5: Solve for x
    x = 17,014,074,035,344/2,724,720
  6. Step 6: Final answer
    x = 6,244,338.51

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Why These Related Problems?

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