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Finding the Third Proportional to 2,393,984 and 3,811,142

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Solution

The third proportional to 2,393,984 and 3,811,142 is: 6,067,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393,984 : 3,811,142 = 3,811,142 : x
  2. Step 2: Convert to fraction form
    2,393,984/3,811,142 = 3,811,142/x
  3. Step 3: Cross multiply
    2,393,984x = 3,811,142 × 3,811,142
  4. Step 4: Simplify right side
    2,393,984x = 14,524,803,344,164
  5. Step 5: Solve for x
    x = 14,524,803,344,164/2,393,984
  6. Step 6: Final answer
    x = 6,067,209.87

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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.