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Finding the Third Proportional to 1,631,603.25 and 3,586,234.50

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Solution

The third proportional to 1,631,603.25 and 3,586,234.50 is: 7,882,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631,603.25 : 3,586,234.50 = 3,586,234.50 : x
  2. Step 2: Convert to fraction form
    1,631,603.25/3,586,234.50 = 3,586,234.50/x
  3. Step 3: Cross multiply
    1,631,603.25x = 3,586,234.50 × 3,586,234.50
  4. Step 4: Simplify right side
    1,631,603.25x = 12,861,077,888,990.25
  5. Step 5: Solve for x
    x = 12,861,077,888,990.25/1,631,603.25
  6. Step 6: Final answer
    x = 7,882,478.71

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