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Finding the Third Proportional to 417,786 and 857,694

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Solution

The third proportional to 417,786 and 857,694 is: 1,760,803.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,786 : 857,694 = 857,694 : x
  2. Step 2: Convert to fraction form
    417,786/857,694 = 857,694/x
  3. Step 3: Cross multiply
    417,786x = 857,694 × 857,694
  4. Step 4: Simplify right side
    417,786x = 735,638,997,636
  5. Step 5: Solve for x
    x = 735,638,997,636/417,786
  6. Step 6: Final answer
    x = 1,760,803.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.