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Finding the Third Proportional to 2,025,774.50 and 4,322,737

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Solution

The third proportional to 2,025,774.50 and 4,322,737 is: 9,224,153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025,774.50 : 4,322,737 = 4,322,737 : x
  2. Step 2: Convert to fraction form
    2,025,774.50/4,322,737 = 4,322,737/x
  3. Step 3: Cross multiply
    2,025,774.50x = 4,322,737 × 4,322,737
  4. Step 4: Simplify right side
    2,025,774.50x = 18,686,055,171,169
  5. Step 5: Solve for x
    x = 18,686,055,171,169/2,025,774.50
  6. Step 6: Final answer
    x = 9,224,153.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.