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Finding the Third Proportional to 383,913 and 897,181

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Solution

The third proportional to 383,913 and 897,181 is: 2,096,656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,913 : 897,181 = 897,181 : x
  2. Step 2: Convert to fraction form
    383,913/897,181 = 897,181/x
  3. Step 3: Cross multiply
    383,913x = 897,181 × 897,181
  4. Step 4: Simplify right side
    383,913x = 804,933,746,761
  5. Step 5: Solve for x
    x = 804,933,746,761/383,913
  6. Step 6: Final answer
    x = 2,096,656.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.