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Finding the Third Proportional to 406,843 and 886,012

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Solution

The third proportional to 406,843 and 886,012 is: 1,929,533.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,843 : 886,012 = 886,012 : x
  2. Step 2: Convert to fraction form
    406,843/886,012 = 886,012/x
  3. Step 3: Cross multiply
    406,843x = 886,012 × 886,012
  4. Step 4: Simplify right side
    406,843x = 785,017,264,144
  5. Step 5: Solve for x
    x = 785,017,264,144/406,843
  6. Step 6: Final answer
    x = 1,929,533.66

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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.