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Finding the Third Proportional to 2,709,726 and 3,962,844

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Solution

The third proportional to 2,709,726 and 3,962,844 is: 5,795,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709,726 : 3,962,844 = 3,962,844 : x
  2. Step 2: Convert to fraction form
    2,709,726/3,962,844 = 3,962,844/x
  3. Step 3: Cross multiply
    2,709,726x = 3,962,844 × 3,962,844
  4. Step 4: Simplify right side
    2,709,726x = 15,704,132,568,336
  5. Step 5: Solve for x
    x = 15,704,132,568,336/2,709,726
  6. Step 6: Final answer
    x = 5,795,468.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.