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Finding the Third Proportional to 655,212.75 and 1,401,510.75

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Solution

The third proportional to 655,212.75 and 1,401,510.75 is: 2,997,854.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,212.75 : 1,401,510.75 = 1,401,510.75 : x
  2. Step 2: Convert to fraction form
    655,212.75/1,401,510.75 = 1,401,510.75/x
  3. Step 3: Cross multiply
    655,212.75x = 1,401,510.75 × 1,401,510.75
  4. Step 4: Simplify right side
    655,212.75x = 1,964,232,382,365.56
  5. Step 5: Solve for x
    x = 1,964,232,382,365.56/655,212.75
  6. Step 6: Final answer
    x = 2,997,854.33

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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.