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Finding the Third Proportional to 755,180 and 1,166,624

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Solution

The third proportional to 755,180 and 1,166,624 is: 1,802,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,180 : 1,166,624 = 1,166,624 : x
  2. Step 2: Convert to fraction form
    755,180/1,166,624 = 1,166,624/x
  3. Step 3: Cross multiply
    755,180x = 1,166,624 × 1,166,624
  4. Step 4: Simplify right side
    755,180x = 1,361,011,557,376
  5. Step 5: Solve for x
    x = 1,361,011,557,376/755,180
  6. Step 6: Final answer
    x = 1,802,234.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.