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Finding the Third Proportional to 406,008 and 893,016

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Solution

The third proportional to 406,008 and 893,016 is: 1,964,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,008 : 893,016 = 893,016 : x
  2. Step 2: Convert to fraction form
    406,008/893,016 = 893,016/x
  3. Step 3: Cross multiply
    406,008x = 893,016 × 893,016
  4. Step 4: Simplify right side
    406,008x = 797,477,576,256
  5. Step 5: Solve for x
    x = 797,477,576,256/406,008
  6. Step 6: Final answer
    x = 1,964,191.78

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.