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Finding the Third Proportional to 808,529 and 1,640,817

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Solution

The third proportional to 808,529 and 1,640,817 is: 3,329,850.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,529 : 1,640,817 = 1,640,817 : x
  2. Step 2: Convert to fraction form
    808,529/1,640,817 = 1,640,817/x
  3. Step 3: Cross multiply
    808,529x = 1,640,817 × 1,640,817
  4. Step 4: Simplify right side
    808,529x = 2,692,280,427,489
  5. Step 5: Solve for x
    x = 2,692,280,427,489/808,529
  6. Step 6: Final answer
    x = 3,329,850.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.