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Finding the Third Proportional to 2,150,738.25 and 4,692,767.25

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Solution

The third proportional to 2,150,738.25 and 4,692,767.25 is: 10,239,304.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150,738.25 : 4,692,767.25 = 4,692,767.25 : x
  2. Step 2: Convert to fraction form
    2,150,738.25/4,692,767.25 = 4,692,767.25/x
  3. Step 3: Cross multiply
    2,150,738.25x = 4,692,767.25 × 4,692,767.25
  4. Step 4: Simplify right side
    2,150,738.25x = 22,022,064,462,672.56
  5. Step 5: Solve for x
    x = 22,022,064,462,672.56/2,150,738.25
  6. Step 6: Final answer
    x = 10,239,304.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.