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Finding the Third Proportional to 2,025,795 and 4,322,776.50

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Solution

The third proportional to 2,025,795 and 4,322,776.50 is: 9,224,228.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025,795 : 4,322,776.50 = 4,322,776.50 : x
  2. Step 2: Convert to fraction form
    2,025,795/4,322,776.50 = 4,322,776.50/x
  3. Step 3: Cross multiply
    2,025,795x = 4,322,776.50 × 4,322,776.50
  4. Step 4: Simplify right side
    2,025,795x = 18,686,396,668,952.25
  5. Step 5: Solve for x
    x = 18,686,396,668,952.25/2,025,795
  6. Step 6: Final answer
    x = 9,224,228.84

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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.