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Finding the Third Proportional to 406,406 and 893,256

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Solution

The third proportional to 406,406 and 893,256 is: 1,963,323.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,406 : 893,256 = 893,256 : x
  2. Step 2: Convert to fraction form
    406,406/893,256 = 893,256/x
  3. Step 3: Cross multiply
    406,406x = 893,256 × 893,256
  4. Step 4: Simplify right side
    406,406x = 797,906,281,536
  5. Step 5: Solve for x
    x = 797,906,281,536/406,406
  6. Step 6: Final answer
    x = 1,963,323.08

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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.