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Finding the Third Proportional to 401,120 and 857,536

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Solution

The third proportional to 401,120 and 857,536 is: 1,833,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,120 : 857,536 = 857,536 : x
  2. Step 2: Convert to fraction form
    401,120/857,536 = 857,536/x
  3. Step 3: Cross multiply
    401,120x = 857,536 × 857,536
  4. Step 4: Simplify right side
    401,120x = 735,367,991,296
  5. Step 5: Solve for x
    x = 735,367,991,296/401,120
  6. Step 6: Final answer
    x = 1,833,286.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.