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Finding the Third Proportional to 548,364 and 817,962

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Solution

The third proportional to 548,364 and 817,962 is: 1,220,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,364 : 817,962 = 817,962 : x
  2. Step 2: Convert to fraction form
    548,364/817,962 = 817,962/x
  3. Step 3: Cross multiply
    548,364x = 817,962 × 817,962
  4. Step 4: Simplify right side
    548,364x = 669,061,833,444
  5. Step 5: Solve for x
    x = 669,061,833,444/548,364
  6. Step 6: Final answer
    x = 1,220,105.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.