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Finding the Third Proportional to 859,115.11 and 1,696,546.27

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Solution

The third proportional to 859,115.11 and 1,696,546.27 is: 3,350,271.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,115.11 : 1,696,546.27 = 1,696,546.27 : x
  2. Step 2: Convert to fraction form
    859,115.11/1,696,546.27 = 1,696,546.27/x
  3. Step 3: Cross multiply
    859,115.11x = 1,696,546.27 × 1,696,546.27
  4. Step 4: Simplify right side
    859,115.11x = 2,878,269,231,406.13
  5. Step 5: Solve for x
    x = 2,878,269,231,406.13/859,115.11
  6. Step 6: Final answer
    x = 3,350,271.93

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.