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Finding the Third Proportional to 655,293 and 1,401,660

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Solution

The third proportional to 655,293 and 1,401,660 is: 2,998,125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,293 : 1,401,660 = 1,401,660 : x
  2. Step 2: Convert to fraction form
    655,293/1,401,660 = 1,401,660/x
  3. Step 3: Cross multiply
    655,293x = 1,401,660 × 1,401,660
  4. Step 4: Simplify right side
    655,293x = 1,964,650,755,600
  5. Step 5: Solve for x
    x = 1,964,650,755,600/655,293
  6. Step 6: Final answer
    x = 2,998,125.66

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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.