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Finding the Third Proportional to 2,591,477.25 and 5,638,739

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Solution

The third proportional to 2,591,477.25 and 5,638,739 is: 12,269,209.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591,477.25 : 5,638,739 = 5,638,739 : x
  2. Step 2: Convert to fraction form
    2,591,477.25/5,638,739 = 5,638,739/x
  3. Step 3: Cross multiply
    2,591,477.25x = 5,638,739 × 5,638,739
  4. Step 4: Simplify right side
    2,591,477.25x = 31,795,377,510,121
  5. Step 5: Solve for x
    x = 31,795,377,510,121/2,591,477.25
  6. Step 6: Final answer
    x = 12,269,209.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.