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Finding the Third Proportional to 755,786 and 1,661,011

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Solution

The third proportional to 755,786 and 1,661,011 is: 3,650,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,786 : 1,661,011 = 1,661,011 : x
  2. Step 2: Convert to fraction form
    755,786/1,661,011 = 1,661,011/x
  3. Step 3: Cross multiply
    755,786x = 1,661,011 × 1,661,011
  4. Step 4: Simplify right side
    755,786x = 2,758,957,542,121
  5. Step 5: Solve for x
    x = 2,758,957,542,121/755,786
  6. Step 6: Final answer
    x = 3,650,448.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.