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Finding the Third Proportional to 2,729,943 and 4,282,110

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Solution

The third proportional to 2,729,943 and 4,282,110 is: 6,716,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729,943 : 4,282,110 = 4,282,110 : x
  2. Step 2: Convert to fraction form
    2,729,943/4,282,110 = 4,282,110/x
  3. Step 3: Cross multiply
    2,729,943x = 4,282,110 × 4,282,110
  4. Step 4: Simplify right side
    2,729,943x = 18,336,466,052,100
  5. Step 5: Solve for x
    x = 18,336,466,052,100/2,729,943
  6. Step 6: Final answer
    x = 6,716,794.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.