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Finding the Third Proportional to 2,240,381 and 4,807,381

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Solution

The third proportional to 2,240,381 and 4,807,381 is: 10,315,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240,381 : 4,807,381 = 4,807,381 : x
  2. Step 2: Convert to fraction form
    2,240,381/4,807,381 = 4,807,381/x
  3. Step 3: Cross multiply
    2,240,381x = 4,807,381 × 4,807,381
  4. Step 4: Simplify right side
    2,240,381x = 23,110,912,079,161
  5. Step 5: Solve for x
    x = 23,110,912,079,161/2,240,381
  6. Step 6: Final answer
    x = 10,315,616.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.