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Finding the Third Proportional to 2,243,441 and 4,865,422

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Solution

The third proportional to 2,243,441 and 4,865,422 is: 10,551,795.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243,441 : 4,865,422 = 4,865,422 : x
  2. Step 2: Convert to fraction form
    2,243,441/4,865,422 = 4,865,422/x
  3. Step 3: Cross multiply
    2,243,441x = 4,865,422 × 4,865,422
  4. Step 4: Simplify right side
    2,243,441x = 23,672,331,238,084
  5. Step 5: Solve for x
    x = 23,672,331,238,084/2,243,441
  6. Step 6: Final answer
    x = 10,551,795.76

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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.