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Finding the Third Proportional to 771,686 and 1,661,896

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Solution

The third proportional to 771,686 and 1,661,896 is: 3,579,044.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,686 : 1,661,896 = 1,661,896 : x
  2. Step 2: Convert to fraction form
    771,686/1,661,896 = 1,661,896/x
  3. Step 3: Cross multiply
    771,686x = 1,661,896 × 1,661,896
  4. Step 4: Simplify right side
    771,686x = 2,761,898,314,816
  5. Step 5: Solve for x
    x = 2,761,898,314,816/771,686
  6. Step 6: Final answer
    x = 3,579,044.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.