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Finding the Third Proportional to 548,392 and 1,166,624

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Solution

The third proportional to 548,392 and 1,166,624 is: 2,481,822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,392 : 1,166,624 = 1,166,624 : x
  2. Step 2: Convert to fraction form
    548,392/1,166,624 = 1,166,624/x
  3. Step 3: Cross multiply
    548,392x = 1,166,624 × 1,166,624
  4. Step 4: Simplify right side
    548,392x = 1,361,011,557,376
  5. Step 5: Solve for x
    x = 1,361,011,557,376/548,392
  6. Step 6: Final answer
    x = 2,481,822.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.