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Finding the Third Proportional to 397,404 and 866,196

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Solution

The third proportional to 397,404 and 866,196 is: 1,887,991.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,404 : 866,196 = 866,196 : x
  2. Step 2: Convert to fraction form
    397,404/866,196 = 866,196/x
  3. Step 3: Cross multiply
    397,404x = 866,196 × 866,196
  4. Step 4: Simplify right side
    397,404x = 750,295,510,416
  5. Step 5: Solve for x
    x = 750,295,510,416/397,404
  6. Step 6: Final answer
    x = 1,887,991.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.