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Finding the Third Proportional to 791,441 and 1,610,829

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Solution

The third proportional to 791,441 and 1,610,829 is: 3,278,538.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,441 : 1,610,829 = 1,610,829 : x
  2. Step 2: Convert to fraction form
    791,441/1,610,829 = 1,610,829/x
  3. Step 3: Cross multiply
    791,441x = 1,610,829 × 1,610,829
  4. Step 4: Simplify right side
    791,441x = 2,594,770,067,241
  5. Step 5: Solve for x
    x = 2,594,770,067,241/791,441
  6. Step 6: Final answer
    x = 3,278,538.85

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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.