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Finding the Third Proportional to 771,256 and 1,186,204

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Solution

The third proportional to 771,256 and 1,186,204 is: 1,824,400.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,256 : 1,186,204 = 1,186,204 : x
  2. Step 2: Convert to fraction form
    771,256/1,186,204 = 1,186,204/x
  3. Step 3: Cross multiply
    771,256x = 1,186,204 × 1,186,204
  4. Step 4: Simplify right side
    771,256x = 1,407,079,929,616
  5. Step 5: Solve for x
    x = 1,407,079,929,616/771,256
  6. Step 6: Final answer
    x = 1,824,400.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.