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Finding the Third Proportional to 786,008.25 and 1,186,481.25

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Solution

The third proportional to 786,008.25 and 1,186,481.25 is: 1,790,996.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,008.25 : 1,186,481.25 = 1,186,481.25 : x
  2. Step 2: Convert to fraction form
    786,008.25/1,186,481.25 = 1,186,481.25/x
  3. Step 3: Cross multiply
    786,008.25x = 1,186,481.25 × 1,186,481.25
  4. Step 4: Simplify right side
    786,008.25x = 1,407,737,756,601.56
  5. Step 5: Solve for x
    x = 1,407,737,756,601.56/786,008.25
  6. Step 6: Final answer
    x = 1,790,996.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.