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Finding the Third Proportional to 417,794 and 857,710

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Solution

The third proportional to 417,794 and 857,710 is: 1,760,835.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,794 : 857,710 = 857,710 : x
  2. Step 2: Convert to fraction form
    417,794/857,710 = 857,710/x
  3. Step 3: Cross multiply
    417,794x = 857,710 × 857,710
  4. Step 4: Simplify right side
    417,794x = 735,666,444,100
  5. Step 5: Solve for x
    x = 735,666,444,100/417,794
  6. Step 6: Final answer
    x = 1,760,835.35

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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.