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Finding the Third Proportional to 406,194 and 893,364

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Solution

The third proportional to 406,194 and 893,364 is: 1,964,822.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,194 : 893,364 = 893,364 : x
  2. Step 2: Convert to fraction form
    406,194/893,364 = 893,364/x
  3. Step 3: Cross multiply
    406,194x = 893,364 × 893,364
  4. Step 4: Simplify right side
    406,194x = 798,099,236,496
  5. Step 5: Solve for x
    x = 798,099,236,496/406,194
  6. Step 6: Final answer
    x = 1,964,822.81

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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.