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Finding the Third Proportional to 541,860 and 858,714

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Solution

The third proportional to 541,860 and 858,714 is: 1,360,849.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,860 : 858,714 = 858,714 : x
  2. Step 2: Convert to fraction form
    541,860/858,714 = 858,714/x
  3. Step 3: Cross multiply
    541,860x = 858,714 × 858,714
  4. Step 4: Simplify right side
    541,860x = 737,389,733,796
  5. Step 5: Solve for x
    x = 737,389,733,796/541,860
  6. Step 6: Final answer
    x = 1,360,849.17

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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.