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Finding the Third Proportional to 2,393,983.50 and 3,811,143

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Solution

The third proportional to 2,393,983.50 and 3,811,143 is: 6,067,214.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393,983.50 : 3,811,143 = 3,811,143 : x
  2. Step 2: Convert to fraction form
    2,393,983.50/3,811,143 = 3,811,143/x
  3. Step 3: Cross multiply
    2,393,983.50x = 3,811,143 × 3,811,143
  4. Step 4: Simplify right side
    2,393,983.50x = 14,524,810,966,449
  5. Step 5: Solve for x
    x = 14,524,810,966,449/2,393,983.50
  6. Step 6: Final answer
    x = 6,067,214.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.