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Finding the Third Proportional to 546,339 and 827,126

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Solution

The third proportional to 546,339 and 827,126 is: 1,252,221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,339 : 827,126 = 827,126 : x
  2. Step 2: Convert to fraction form
    546,339/827,126 = 827,126/x
  3. Step 3: Cross multiply
    546,339x = 827,126 × 827,126
  4. Step 4: Simplify right side
    546,339x = 684,137,419,876
  5. Step 5: Solve for x
    x = 684,137,419,876/546,339
  6. Step 6: Final answer
    x = 1,252,221.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.