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Finding the Third Proportional to 786,894.75 and 1,180,342.13

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Solution

The third proportional to 786,894.75 and 1,180,342.13 is: 1,770,513.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,894.75 : 1,180,342.13 = 1,180,342.13 : x
  2. Step 2: Convert to fraction form
    786,894.75/1,180,342.13 = 1,180,342.13/x
  3. Step 3: Cross multiply
    786,894.75x = 1,180,342.13 × 1,180,342.13
  4. Step 4: Simplify right side
    786,894.75x = 1,393,207,532,049.52
  5. Step 5: Solve for x
    x = 1,393,207,532,049.52/786,894.75
  6. Step 6: Final answer
    x = 1,770,513.19

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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.