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Finding the Third Proportional to 394,774 and 868,261

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Solution

The third proportional to 394,774 and 868,261 is: 1,909,642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,774 : 868,261 = 868,261 : x
  2. Step 2: Convert to fraction form
    394,774/868,261 = 868,261/x
  3. Step 3: Cross multiply
    394,774x = 868,261 × 868,261
  4. Step 4: Simplify right side
    394,774x = 753,877,164,121
  5. Step 5: Solve for x
    x = 753,877,164,121/394,774
  6. Step 6: Final answer
    x = 1,909,642.39

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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.