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Finding the Third Proportional to 541,823 and 858,662

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Solution

The third proportional to 541,823 and 858,662 is: 1,360,777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,823 : 858,662 = 858,662 : x
  2. Step 2: Convert to fraction form
    541,823/858,662 = 858,662/x
  3. Step 3: Cross multiply
    541,823x = 858,662 × 858,662
  4. Step 4: Simplify right side
    541,823x = 737,300,430,244
  5. Step 5: Solve for x
    x = 737,300,430,244/541,823
  6. Step 6: Final answer
    x = 1,360,777.28

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.