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Finding the Third Proportional to 2,025,207 and 4,321,611

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Solution

The third proportional to 2,025,207 and 4,321,611 is: 9,221,932.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025,207 : 4,321,611 = 4,321,611 : x
  2. Step 2: Convert to fraction form
    2,025,207/4,321,611 = 4,321,611/x
  3. Step 3: Cross multiply
    2,025,207x = 4,321,611 × 4,321,611
  4. Step 4: Simplify right side
    2,025,207x = 18,676,321,635,321
  5. Step 5: Solve for x
    x = 18,676,321,635,321/2,025,207
  6. Step 6: Final answer
    x = 9,221,932.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.