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Finding the Third Proportional to 2,282,179.50 and 4,819,002

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Solution

The third proportional to 2,282,179.50 and 4,819,002 is: 10,175,702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282,179.50 : 4,819,002 = 4,819,002 : x
  2. Step 2: Convert to fraction form
    2,282,179.50/4,819,002 = 4,819,002/x
  3. Step 3: Cross multiply
    2,282,179.50x = 4,819,002 × 4,819,002
  4. Step 4: Simplify right side
    2,282,179.50x = 23,222,780,276,004
  5. Step 5: Solve for x
    x = 23,222,780,276,004/2,282,179.50
  6. Step 6: Final answer
    x = 10,175,702.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.