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Finding the Third Proportional to 546,351 and 827,143

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Solution

The third proportional to 546,351 and 827,143 is: 1,252,245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,351 : 827,143 = 827,143 : x
  2. Step 2: Convert to fraction form
    546,351/827,143 = 827,143/x
  3. Step 3: Cross multiply
    546,351x = 827,143 × 827,143
  4. Step 4: Simplify right side
    546,351x = 684,165,542,449
  5. Step 5: Solve for x
    x = 684,165,542,449/546,351
  6. Step 6: Final answer
    x = 1,252,245.43

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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.