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Finding the Third Proportional to 403,666 and 833,616

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Solution

The third proportional to 403,666 and 833,616 is: 1,721,511.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,666 : 833,616 = 833,616 : x
  2. Step 2: Convert to fraction form
    403,666/833,616 = 833,616/x
  3. Step 3: Cross multiply
    403,666x = 833,616 × 833,616
  4. Step 4: Simplify right side
    403,666x = 694,915,635,456
  5. Step 5: Solve for x
    x = 694,915,635,456/403,666
  6. Step 6: Final answer
    x = 1,721,511.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.