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Finding the Third Proportional to 2,198,762 and 3,363,532

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Solution

The third proportional to 2,198,762 and 3,363,532 is: 5,145,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198,762 : 3,363,532 = 3,363,532 : x
  2. Step 2: Convert to fraction form
    2,198,762/3,363,532 = 3,363,532/x
  3. Step 3: Cross multiply
    2,198,762x = 3,363,532 × 3,363,532
  4. Step 4: Simplify right side
    2,198,762x = 11,313,347,515,024
  5. Step 5: Solve for x
    x = 11,313,347,515,024/2,198,762
  6. Step 6: Final answer
    x = 5,145,326.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.