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Finding the Third Proportional to 655,212.38 and 1,401,509.25

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Solution

The third proportional to 655,212.38 and 1,401,509.25 is: 2,997,849.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,212.38 : 1,401,509.25 = 1,401,509.25 : x
  2. Step 2: Convert to fraction form
    655,212.38/1,401,509.25 = 1,401,509.25/x
  3. Step 3: Cross multiply
    655,212.38x = 1,401,509.25 × 1,401,509.25
  4. Step 4: Simplify right side
    655,212.38x = 1,964,228,177,835.56
  5. Step 5: Solve for x
    x = 1,964,228,177,835.56/655,212.38
  6. Step 6: Final answer
    x = 2,997,849.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.