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Finding the Third Proportional to 2,255,584 and 5,078,960

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Solution

The third proportional to 2,255,584 and 5,078,960 is: 11,436,432.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255,584 : 5,078,960 = 5,078,960 : x
  2. Step 2: Convert to fraction form
    2,255,584/5,078,960 = 5,078,960/x
  3. Step 3: Cross multiply
    2,255,584x = 5,078,960 × 5,078,960
  4. Step 4: Simplify right side
    2,255,584x = 25,795,834,681,600
  5. Step 5: Solve for x
    x = 25,795,834,681,600/2,255,584
  6. Step 6: Final answer
    x = 11,436,432.73

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.