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Finding the Third Proportional to 3,601,470.94 and 5,493,673.13

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Solution

The third proportional to 3,601,470.94 and 5,493,673.13 is: 8,380,032.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601,470.94 : 5,493,673.13 = 5,493,673.13 : x
  2. Step 2: Convert to fraction form
    3,601,470.94/5,493,673.13 = 5,493,673.13/x
  3. Step 3: Cross multiply
    3,601,470.94x = 5,493,673.13 × 5,493,673.13
  4. Step 4: Simplify right side
    3,601,470.94x = 30,180,444,404,347.27
  5. Step 5: Solve for x
    x = 30,180,444,404,347.27/3,601,470.94
  6. Step 6: Final answer
    x = 8,380,032.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.