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Finding the Third Proportional to 2,291,380 and 4,976,865

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Solution

The third proportional to 2,291,380 and 4,976,865 is: 10,809,723.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291,380 : 4,976,865 = 4,976,865 : x
  2. Step 2: Convert to fraction form
    2,291,380/4,976,865 = 4,976,865/x
  3. Step 3: Cross multiply
    2,291,380x = 4,976,865 × 4,976,865
  4. Step 4: Simplify right side
    2,291,380x = 24,769,185,228,225
  5. Step 5: Solve for x
    x = 24,769,185,228,225/2,291,380
  6. Step 6: Final answer
    x = 10,809,723.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.