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Finding the Third Proportional to 2,414,234.81 and 3,621,640.50

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Solution

The third proportional to 2,414,234.81 and 3,621,640.50 is: 5,432,893.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414,234.81 : 3,621,640.50 = 3,621,640.50 : x
  2. Step 2: Convert to fraction form
    2,414,234.81/3,621,640.50 = 3,621,640.50/x
  3. Step 3: Cross multiply
    2,414,234.81x = 3,621,640.50 × 3,621,640.50
  4. Step 4: Simplify right side
    2,414,234.81x = 13,116,279,911,240.25
  5. Step 5: Solve for x
    x = 13,116,279,911,240.25/2,414,234.81
  6. Step 6: Final answer
    x = 5,432,893.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.