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Finding the Third Proportional to 3,728,700 and 5,757,891.75

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Solution

The third proportional to 3,728,700 and 5,757,891.75 is: 8,891,387.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728,700 : 5,757,891.75 = 5,757,891.75 : x
  2. Step 2: Convert to fraction form
    3,728,700/5,757,891.75 = 5,757,891.75/x
  3. Step 3: Cross multiply
    3,728,700x = 5,757,891.75 × 5,757,891.75
  4. Step 4: Simplify right side
    3,728,700x = 33,153,317,404,718.06
  5. Step 5: Solve for x
    x = 33,153,317,404,718.06/3,728,700
  6. Step 6: Final answer
    x = 8,891,387.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.