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Finding the Third Proportional to 2,278,124 and 5,011,000

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Solution

The third proportional to 2,278,124 and 5,011,000 is: 11,022,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278,124 : 5,011,000 = 5,011,000 : x
  2. Step 2: Convert to fraction form
    2,278,124/5,011,000 = 5,011,000/x
  3. Step 3: Cross multiply
    2,278,124x = 5,011,000 × 5,011,000
  4. Step 4: Simplify right side
    2,278,124x = 25,110,121,000,000
  5. Step 5: Solve for x
    x = 25,110,121,000,000/2,278,124
  6. Step 6: Final answer
    x = 11,022,280.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.