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Finding the Third Proportional to 828,603 and 1,795,446

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Solution

The third proportional to 828,603 and 1,795,446 is: 3,890,435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,603 : 1,795,446 = 1,795,446 : x
  2. Step 2: Convert to fraction form
    828,603/1,795,446 = 1,795,446/x
  3. Step 3: Cross multiply
    828,603x = 1,795,446 × 1,795,446
  4. Step 4: Simplify right side
    828,603x = 3,223,626,338,916
  5. Step 5: Solve for x
    x = 3,223,626,338,916/828,603
  6. Step 6: Final answer
    x = 3,890,435.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.