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Finding the Third Proportional to 3,393,717.75 and 4,747,141.69

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Solution

The third proportional to 3,393,717.75 and 4,747,141.69 is: 6,640,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393,717.75 : 4,747,141.69 = 4,747,141.69 : x
  2. Step 2: Convert to fraction form
    3,393,717.75/4,747,141.69 = 4,747,141.69/x
  3. Step 3: Cross multiply
    3,393,717.75x = 4,747,141.69 × 4,747,141.69
  4. Step 4: Simplify right side
    3,393,717.75x = 22,535,354,201,200.35
  5. Step 5: Solve for x
    x = 22,535,354,201,200.35/3,393,717.75
  6. Step 6: Final answer
    x = 6,640,314.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.