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Finding the Third Proportional to 2,208,530 and 4,671,697

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Solution

The third proportional to 2,208,530 and 4,671,697 is: 9,882,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208,530 : 4,671,697 = 4,671,697 : x
  2. Step 2: Convert to fraction form
    2,208,530/4,671,697 = 4,671,697/x
  3. Step 3: Cross multiply
    2,208,530x = 4,671,697 × 4,671,697
  4. Step 4: Simplify right side
    2,208,530x = 21,824,752,859,809
  5. Step 5: Solve for x
    x = 21,824,752,859,809/2,208,530
  6. Step 6: Final answer
    x = 9,882,026.90

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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.