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Finding the Third Proportional to 2,270,043 and 4,816,782

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Solution

The third proportional to 2,270,043 and 4,816,782 is: 10,220,682.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270,043 : 4,816,782 = 4,816,782 : x
  2. Step 2: Convert to fraction form
    2,270,043/4,816,782 = 4,816,782/x
  3. Step 3: Cross multiply
    2,270,043x = 4,816,782 × 4,816,782
  4. Step 4: Simplify right side
    2,270,043x = 23,201,388,835,524
  5. Step 5: Solve for x
    x = 23,201,388,835,524/2,270,043
  6. Step 6: Final answer
    x = 10,220,682.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.