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Finding the Third Proportional to 406,069 and 883,796

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Solution

The third proportional to 406,069 and 883,796 is: 1,923,553.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,069 : 883,796 = 883,796 : x
  2. Step 2: Convert to fraction form
    406,069/883,796 = 883,796/x
  3. Step 3: Cross multiply
    406,069x = 883,796 × 883,796
  4. Step 4: Simplify right side
    406,069x = 781,095,369,616
  5. Step 5: Solve for x
    x = 781,095,369,616/406,069
  6. Step 6: Final answer
    x = 1,923,553.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.