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Finding the Third Proportional to 406,668 and 893,132

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Solution

The third proportional to 406,668 and 893,132 is: 1,961,513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,668 : 893,132 = 893,132 : x
  2. Step 2: Convert to fraction form
    406,668/893,132 = 893,132/x
  3. Step 3: Cross multiply
    406,668x = 893,132 × 893,132
  4. Step 4: Simplify right side
    406,668x = 797,684,769,424
  5. Step 5: Solve for x
    x = 797,684,769,424/406,668
  6. Step 6: Final answer
    x = 1,961,513.49

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Why These Related Problems?

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