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Finding the Third Proportional to 791,588.25 and 1,543,807.13

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Solution

The third proportional to 791,588.25 and 1,543,807.13 is: 3,010,833.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,588.25 : 1,543,807.13 = 1,543,807.13 : x
  2. Step 2: Convert to fraction form
    791,588.25/1,543,807.13 = 1,543,807.13/x
  3. Step 3: Cross multiply
    791,588.25x = 1,543,807.13 × 1,543,807.13
  4. Step 4: Simplify right side
    791,588.25x = 2,383,340,439,200.77
  5. Step 5: Solve for x
    x = 2,383,340,439,200.77/791,588.25
  6. Step 6: Final answer
    x = 3,010,833.52

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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.