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Finding the Third Proportional to 3,072,660.75 and 4,747,592.25

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Solution

The third proportional to 3,072,660.75 and 4,747,592.25 is: 7,335,542.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072,660.75 : 4,747,592.25 = 4,747,592.25 : x
  2. Step 2: Convert to fraction form
    3,072,660.75/4,747,592.25 = 4,747,592.25/x
  3. Step 3: Cross multiply
    3,072,660.75x = 4,747,592.25 × 4,747,592.25
  4. Step 4: Simplify right side
    3,072,660.75x = 22,539,632,172,260.06
  5. Step 5: Solve for x
    x = 22,539,632,172,260.06/3,072,660.75
  6. Step 6: Final answer
    x = 7,335,542.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.