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Finding the Third Proportional to 546,992 and 827,792

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Solution

The third proportional to 546,992 and 827,792 is: 1,252,741.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,992 : 827,792 = 827,792 : x
  2. Step 2: Convert to fraction form
    546,992/827,792 = 827,792/x
  3. Step 3: Cross multiply
    546,992x = 827,792 × 827,792
  4. Step 4: Simplify right side
    546,992x = 685,239,595,264
  5. Step 5: Solve for x
    x = 685,239,595,264/546,992
  6. Step 6: Final answer
    x = 1,252,741.53

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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.