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Finding the Third Proportional to 791,764 and 1,611,596

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Solution

The third proportional to 791,764 and 1,611,596 is: 3,280,323.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,764 : 1,611,596 = 1,611,596 : x
  2. Step 2: Convert to fraction form
    791,764/1,611,596 = 1,611,596/x
  3. Step 3: Cross multiply
    791,764x = 1,611,596 × 1,611,596
  4. Step 4: Simplify right side
    791,764x = 2,597,241,667,216
  5. Step 5: Solve for x
    x = 2,597,241,667,216/791,764
  6. Step 6: Final answer
    x = 3,280,323.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.