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Finding the Third Proportional to 2,122,866 and 4,442,562

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Solution

The third proportional to 2,122,866 and 4,442,562 is: 9,297,033.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122,866 : 4,442,562 = 4,442,562 : x
  2. Step 2: Convert to fraction form
    2,122,866/4,442,562 = 4,442,562/x
  3. Step 3: Cross multiply
    2,122,866x = 4,442,562 × 4,442,562
  4. Step 4: Simplify right side
    2,122,866x = 19,736,357,123,844
  5. Step 5: Solve for x
    x = 19,736,357,123,844/2,122,866
  6. Step 6: Final answer
    x = 9,297,033.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.