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Finding the Third Proportional to 406,014 and 893,028

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Solution

The third proportional to 406,014 and 893,028 is: 1,964,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,014 : 893,028 = 893,028 : x
  2. Step 2: Convert to fraction form
    406,014/893,028 = 893,028/x
  3. Step 3: Cross multiply
    406,014x = 893,028 × 893,028
  4. Step 4: Simplify right side
    406,014x = 797,499,008,784
  5. Step 5: Solve for x
    x = 797,499,008,784/406,014
  6. Step 6: Final answer
    x = 1,964,215.54

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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.