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Finding the Third Proportional to 546,966 and 827,996

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Solution

The third proportional to 546,966 and 827,996 is: 1,253,418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,966 : 827,996 = 827,996 : x
  2. Step 2: Convert to fraction form
    546,966/827,996 = 827,996/x
  3. Step 3: Cross multiply
    546,966x = 827,996 × 827,996
  4. Step 4: Simplify right side
    546,966x = 685,577,376,016
  5. Step 5: Solve for x
    x = 685,577,376,016/546,966
  6. Step 6: Final answer
    x = 1,253,418.63

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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.