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Finding the Third Proportional to 1,650,376.69 and 2,524,601.25

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Solution

The third proportional to 1,650,376.69 and 2,524,601.25 is: 3,861,913.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650,376.69 : 2,524,601.25 = 2,524,601.25 : x
  2. Step 2: Convert to fraction form
    1,650,376.69/2,524,601.25 = 2,524,601.25/x
  3. Step 3: Cross multiply
    1,650,376.69x = 2,524,601.25 × 2,524,601.25
  4. Step 4: Simplify right side
    1,650,376.69x = 6,373,611,471,501.56
  5. Step 5: Solve for x
    x = 6,373,611,471,501.56/1,650,376.69
  6. Step 6: Final answer
    x = 3,861,913.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.