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Finding the Third Proportional to 729,190 and 1,141,278

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Solution

The third proportional to 729,190 and 1,141,278 is: 1,786,249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,190 : 1,141,278 = 1,141,278 : x
  2. Step 2: Convert to fraction form
    729,190/1,141,278 = 1,141,278/x
  3. Step 3: Cross multiply
    729,190x = 1,141,278 × 1,141,278
  4. Step 4: Simplify right side
    729,190x = 1,302,515,473,284
  5. Step 5: Solve for x
    x = 1,302,515,473,284/729,190
  6. Step 6: Final answer
    x = 1,786,249.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.