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Finding the Third Proportional to 406,400 and 893,244

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Solution

The third proportional to 406,400 and 893,244 is: 1,963,299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,400 : 893,244 = 893,244 : x
  2. Step 2: Convert to fraction form
    406,400/893,244 = 893,244/x
  3. Step 3: Cross multiply
    406,400x = 893,244 × 893,244
  4. Step 4: Simplify right side
    406,400x = 797,884,843,536
  5. Step 5: Solve for x
    x = 797,884,843,536/406,400
  6. Step 6: Final answer
    x = 1,963,299.32

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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.