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Finding the Third Proportional to 546,984 and 827,780

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Solution

The third proportional to 546,984 and 827,780 is: 1,252,723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,984 : 827,780 = 827,780 : x
  2. Step 2: Convert to fraction form
    546,984/827,780 = 827,780/x
  3. Step 3: Cross multiply
    546,984x = 827,780 × 827,780
  4. Step 4: Simplify right side
    546,984x = 685,219,728,400
  5. Step 5: Solve for x
    x = 685,219,728,400/546,984
  6. Step 6: Final answer
    x = 1,252,723.53

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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.