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Finding the Third Proportional to 1,072,992.75 and 1,609,617.13

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Solution

The third proportional to 1,072,992.75 and 1,609,617.13 is: 2,414,617.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072,992.75 : 1,609,617.13 = 1,609,617.13 : x
  2. Step 2: Convert to fraction form
    1,072,992.75/1,609,617.13 = 1,609,617.13/x
  3. Step 3: Cross multiply
    1,072,992.75x = 1,609,617.13 × 1,609,617.13
  4. Step 4: Simplify right side
    1,072,992.75x = 2,590,867,289,093.27
  5. Step 5: Solve for x
    x = 2,590,867,289,093.27/1,072,992.75
  6. Step 6: Final answer
    x = 2,414,617.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.