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Finding the Third Proportional to 791,590 and 1,543,811

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Solution

The third proportional to 791,590 and 1,543,811 is: 3,010,841.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,590 : 1,543,811 = 1,543,811 : x
  2. Step 2: Convert to fraction form
    791,590/1,543,811 = 1,543,811/x
  3. Step 3: Cross multiply
    791,590x = 1,543,811 × 1,543,811
  4. Step 4: Simplify right side
    791,590x = 2,383,352,403,721
  5. Step 5: Solve for x
    x = 2,383,352,403,721/791,590
  6. Step 6: Final answer
    x = 3,010,841.98

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.