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Finding the Third Proportional to 2,037,226 and 4,317,296

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Solution

The third proportional to 2,037,226 and 4,317,296 is: 9,149,227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037,226 : 4,317,296 = 4,317,296 : x
  2. Step 2: Convert to fraction form
    2,037,226/4,317,296 = 4,317,296/x
  3. Step 3: Cross multiply
    2,037,226x = 4,317,296 × 4,317,296
  4. Step 4: Simplify right side
    2,037,226x = 18,639,044,751,616
  5. Step 5: Solve for x
    x = 18,639,044,751,616/2,037,226
  6. Step 6: Final answer
    x = 9,149,227.80

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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.