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Finding the Third Proportional to 2,030,204 and 4,514,327

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Solution

The third proportional to 2,030,204 and 4,514,327 is: 10,037,980.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,204 : 4,514,327 = 4,514,327 : x
  2. Step 2: Convert to fraction form
    2,030,204/4,514,327 = 4,514,327/x
  3. Step 3: Cross multiply
    2,030,204x = 4,514,327 × 4,514,327
  4. Step 4: Simplify right side
    2,030,204x = 20,379,148,262,929
  5. Step 5: Solve for x
    x = 20,379,148,262,929/2,030,204
  6. Step 6: Final answer
    x = 10,037,980.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.