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Finding the Third Proportional to 546,944 and 827,962

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Solution

The third proportional to 546,944 and 827,962 is: 1,253,366.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,944 : 827,962 = 827,962 : x
  2. Step 2: Convert to fraction form
    546,944/827,962 = 827,962/x
  3. Step 3: Cross multiply
    546,944x = 827,962 × 827,962
  4. Step 4: Simplify right side
    546,944x = 685,521,073,444
  5. Step 5: Solve for x
    x = 685,521,073,444/546,944
  6. Step 6: Final answer
    x = 1,253,366.11

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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.