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Finding the Third Proportional to 732,529 and 1,521,199

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Solution

The third proportional to 732,529 and 1,521,199 is: 3,158,982.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,529 : 1,521,199 = 1,521,199 : x
  2. Step 2: Convert to fraction form
    732,529/1,521,199 = 1,521,199/x
  3. Step 3: Cross multiply
    732,529x = 1,521,199 × 1,521,199
  4. Step 4: Simplify right side
    732,529x = 2,314,046,397,601
  5. Step 5: Solve for x
    x = 2,314,046,397,601/732,529
  6. Step 6: Final answer
    x = 3,158,982.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.