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Finding the Third Proportional to 2,150,733.75 and 4,692,758.25

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Solution

The third proportional to 2,150,733.75 and 4,692,758.25 is: 10,239,286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150,733.75 : 4,692,758.25 = 4,692,758.25 : x
  2. Step 2: Convert to fraction form
    2,150,733.75/4,692,758.25 = 4,692,758.25/x
  3. Step 3: Cross multiply
    2,150,733.75x = 4,692,758.25 × 4,692,758.25
  4. Step 4: Simplify right side
    2,150,733.75x = 22,021,979,992,943.06
  5. Step 5: Solve for x
    x = 22,021,979,992,943.06/2,150,733.75
  6. Step 6: Final answer
    x = 10,239,286.94

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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.