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Finding the Third Proportional to 434,701.69 and 941,797.13

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Solution

The third proportional to 434,701.69 and 941,797.13 is: 2,040,437.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,701.69 : 941,797.13 = 941,797.13 : x
  2. Step 2: Convert to fraction form
    434,701.69/941,797.13 = 941,797.13/x
  3. Step 3: Cross multiply
    434,701.69x = 941,797.13 × 941,797.13
  4. Step 4: Simplify right side
    434,701.69x = 886,981,824,658.27
  5. Step 5: Solve for x
    x = 886,981,824,658.27/434,701.69
  6. Step 6: Final answer
    x = 2,040,437.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.