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Finding the Third Proportional to 2,205,380.25 and 4,678,425

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Solution

The third proportional to 2,205,380.25 and 4,678,425 is: 9,924,665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205,380.25 : 4,678,425 = 4,678,425 : x
  2. Step 2: Convert to fraction form
    2,205,380.25/4,678,425 = 4,678,425/x
  3. Step 3: Cross multiply
    2,205,380.25x = 4,678,425 × 4,678,425
  4. Step 4: Simplify right side
    2,205,380.25x = 21,887,660,480,625
  5. Step 5: Solve for x
    x = 21,887,660,480,625/2,205,380.25
  6. Step 6: Final answer
    x = 9,924,665.14

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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.