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Finding the Third Proportional to 832,446 and 1,794,474

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Solution

The third proportional to 832,446 and 1,794,474 is: 3,868,283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,446 : 1,794,474 = 1,794,474 : x
  2. Step 2: Convert to fraction form
    832,446/1,794,474 = 1,794,474/x
  3. Step 3: Cross multiply
    832,446x = 1,794,474 × 1,794,474
  4. Step 4: Simplify right side
    832,446x = 3,220,136,936,676
  5. Step 5: Solve for x
    x = 3,220,136,936,676/832,446
  6. Step 6: Final answer
    x = 3,868,283.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.