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Finding the Third Proportional to 401,041.13 and 936,787.78

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Solution

The third proportional to 401,041.13 and 936,787.78 is: 2,188,232.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,041.13 : 936,787.78 = 936,787.78 : x
  2. Step 2: Convert to fraction form
    401,041.13/936,787.78 = 936,787.78/x
  3. Step 3: Cross multiply
    401,041.13x = 936,787.78 × 936,787.78
  4. Step 4: Simplify right side
    401,041.13x = 877,571,347,099.30
  5. Step 5: Solve for x
    x = 877,571,347,099.30/401,041.13
  6. Step 6: Final answer
    x = 2,188,232.81

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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.