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Finding the Third Proportional to 546,975 and 827,766

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Solution

The third proportional to 546,975 and 827,766 is: 1,252,701.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,975 : 827,766 = 827,766 : x
  2. Step 2: Convert to fraction form
    546,975/827,766 = 827,766/x
  3. Step 3: Cross multiply
    546,975x = 827,766 × 827,766
  4. Step 4: Simplify right side
    546,975x = 685,196,550,756
  5. Step 5: Solve for x
    x = 685,196,550,756/546,975
  6. Step 6: Final answer
    x = 1,252,701.77

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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.