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Finding the Third Proportional to 434,677 and 941,704

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Solution

The third proportional to 434,677 and 941,704 is: 2,040,150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,677 : 941,704 = 941,704 : x
  2. Step 2: Convert to fraction form
    434,677/941,704 = 941,704/x
  3. Step 3: Cross multiply
    434,677x = 941,704 × 941,704
  4. Step 4: Simplify right side
    434,677x = 886,806,423,616
  5. Step 5: Solve for x
    x = 886,806,423,616/434,677
  6. Step 6: Final answer
    x = 2,040,150.33

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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.