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Finding the Third Proportional to 2,728,378.50 and 5,941,143

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Solution

The third proportional to 2,728,378.50 and 5,941,143 is: 12,937,054.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728,378.50 : 5,941,143 = 5,941,143 : x
  2. Step 2: Convert to fraction form
    2,728,378.50/5,941,143 = 5,941,143/x
  3. Step 3: Cross multiply
    2,728,378.50x = 5,941,143 × 5,941,143
  4. Step 4: Simplify right side
    2,728,378.50x = 35,297,180,146,449
  5. Step 5: Solve for x
    x = 35,297,180,146,449/2,728,378.50
  6. Step 6: Final answer
    x = 12,937,054.06

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Why These Related Problems?

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