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Finding the Third Proportional to 406,855 and 886,036

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Solution

The third proportional to 406,855 and 886,036 is: 1,929,581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,855 : 886,036 = 886,036 : x
  2. Step 2: Convert to fraction form
    406,855/886,036 = 886,036/x
  3. Step 3: Cross multiply
    406,855x = 886,036 × 886,036
  4. Step 4: Simplify right side
    406,855x = 785,059,793,296
  5. Step 5: Solve for x
    x = 785,059,793,296/406,855
  6. Step 6: Final answer
    x = 1,929,581.28

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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.