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Finding the Third Proportional to 406,399 and 893,242

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Solution

The third proportional to 406,399 and 893,242 is: 1,963,295.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,399 : 893,242 = 893,242 : x
  2. Step 2: Convert to fraction form
    406,399/893,242 = 893,242/x
  3. Step 3: Cross multiply
    406,399x = 893,242 × 893,242
  4. Step 4: Simplify right side
    406,399x = 797,881,270,564
  5. Step 5: Solve for x
    x = 797,881,270,564/406,399
  6. Step 6: Final answer
    x = 1,963,295.36

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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.