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Finding the Third Proportional to 2,380,185 and 5,232,701.25

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Solution

The third proportional to 2,380,185 and 5,232,701.25 is: 11,503,795.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380,185 : 5,232,701.25 = 5,232,701.25 : x
  2. Step 2: Convert to fraction form
    2,380,185/5,232,701.25 = 5,232,701.25/x
  3. Step 3: Cross multiply
    2,380,185x = 5,232,701.25 × 5,232,701.25
  4. Step 4: Simplify right side
    2,380,185x = 27,381,162,371,751.56
  5. Step 5: Solve for x
    x = 27,381,162,371,751.56/2,380,185
  6. Step 6: Final answer
    x = 11,503,795.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.