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Finding the Third Proportional to 931,086 and 1,379,163

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Solution

The third proportional to 931,086 and 1,379,163 is: 2,042,873.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,086 : 1,379,163 = 1,379,163 : x
  2. Step 2: Convert to fraction form
    931,086/1,379,163 = 1,379,163/x
  3. Step 3: Cross multiply
    931,086x = 1,379,163 × 1,379,163
  4. Step 4: Simplify right side
    931,086x = 1,902,090,580,569
  5. Step 5: Solve for x
    x = 1,902,090,580,569/931,086
  6. Step 6: Final answer
    x = 2,042,873.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.