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Finding the Third Proportional to 371,686 and 814,544

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Solution

The third proportional to 371,686 and 814,544 is: 1,785,060.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,686 : 814,544 = 814,544 : x
  2. Step 2: Convert to fraction form
    371,686/814,544 = 814,544/x
  3. Step 3: Cross multiply
    371,686x = 814,544 × 814,544
  4. Step 4: Simplify right side
    371,686x = 663,481,927,936
  5. Step 5: Solve for x
    x = 663,481,927,936/371,686
  6. Step 6: Final answer
    x = 1,785,060.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.