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Finding the Third Proportional to 633,190.50 and 1,354,951.13

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Solution

The third proportional to 633,190.50 and 1,354,951.13 is: 2,899,431.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,190.50 : 1,354,951.13 = 1,354,951.13 : x
  2. Step 2: Convert to fraction form
    633,190.50/1,354,951.13 = 1,354,951.13/x
  3. Step 3: Cross multiply
    633,190.50x = 1,354,951.13 × 1,354,951.13
  4. Step 4: Simplify right side
    633,190.50x = 1,835,892,551,138.77
  5. Step 5: Solve for x
    x = 1,835,892,551,138.77/633,190.50
  6. Step 6: Final answer
    x = 2,899,431.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.