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Finding the Third Proportional to 791,880 and 1,726,704

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Solution

The third proportional to 791,880 and 1,726,704 is: 3,765,099.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,880 : 1,726,704 = 1,726,704 : x
  2. Step 2: Convert to fraction form
    791,880/1,726,704 = 1,726,704/x
  3. Step 3: Cross multiply
    791,880x = 1,726,704 × 1,726,704
  4. Step 4: Simplify right side
    791,880x = 2,981,506,703,616
  5. Step 5: Solve for x
    x = 2,981,506,703,616/791,880
  6. Step 6: Final answer
    x = 3,765,099.14

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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.