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Finding the Third Proportional to 406,388.81 and 893,220.75

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Solution

The third proportional to 406,388.81 and 893,220.75 is: 1,963,251.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,388.81 : 893,220.75 = 893,220.75 : x
  2. Step 2: Convert to fraction form
    406,388.81/893,220.75 = 893,220.75/x
  3. Step 3: Cross multiply
    406,388.81x = 893,220.75 × 893,220.75
  4. Step 4: Simplify right side
    406,388.81x = 797,843,308,230.56
  5. Step 5: Solve for x
    x = 797,843,308,230.56/406,388.81
  6. Step 6: Final answer
    x = 1,963,251.16

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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.