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Finding the Third Proportional to 655,997.48 and 1,071,185.77

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Solution

The third proportional to 655,997.48 and 1,071,185.77 is: 1,749,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,997.48 : 1,071,185.77 = 1,071,185.77 : x
  2. Step 2: Convert to fraction form
    655,997.48/1,071,185.77 = 1,071,185.77/x
  3. Step 3: Cross multiply
    655,997.48x = 1,071,185.77 × 1,071,185.77
  4. Step 4: Simplify right side
    655,997.48x = 1,147,438,944,477.62
  5. Step 5: Solve for x
    x = 1,147,438,944,477.62/655,997.48
  6. Step 6: Final answer
    x = 1,749,151.44

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.