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Finding the Third Proportional to 2,284,826 and 4,962,976

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Solution

The third proportional to 2,284,826 and 4,962,976 is: 10,780,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284,826 : 4,962,976 = 4,962,976 : x
  2. Step 2: Convert to fraction form
    2,284,826/4,962,976 = 4,962,976/x
  3. Step 3: Cross multiply
    2,284,826x = 4,962,976 × 4,962,976
  4. Step 4: Simplify right side
    2,284,826x = 24,631,130,776,576
  5. Step 5: Solve for x
    x = 24,631,130,776,576/2,284,826
  6. Step 6: Final answer
    x = 10,780,309.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.