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Finding the Third Proportional to 2,020,200 and 4,488,825

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Solution

The third proportional to 2,020,200 and 4,488,825 is: 9,974,037.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020,200 : 4,488,825 = 4,488,825 : x
  2. Step 2: Convert to fraction form
    2,020,200/4,488,825 = 4,488,825/x
  3. Step 3: Cross multiply
    2,020,200x = 4,488,825 × 4,488,825
  4. Step 4: Simplify right side
    2,020,200x = 20,149,549,880,625
  5. Step 5: Solve for x
    x = 20,149,549,880,625/2,020,200
  6. Step 6: Final answer
    x = 9,974,037.16

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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.