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Finding the Third Proportional to 546,894 and 827,898

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Solution

The third proportional to 546,894 and 827,898 is: 1,253,286.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,894 : 827,898 = 827,898 : x
  2. Step 2: Convert to fraction form
    546,894/827,898 = 827,898/x
  3. Step 3: Cross multiply
    546,894x = 827,898 × 827,898
  4. Step 4: Simplify right side
    546,894x = 685,415,098,404
  5. Step 5: Solve for x
    x = 685,415,098,404/546,894
  6. Step 6: Final answer
    x = 1,253,286.92

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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.