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Finding the Third Proportional to 788,586 and 1,115,832

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Solution

The third proportional to 788,586 and 1,115,832 is: 1,578,877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,586 : 1,115,832 = 1,115,832 : x
  2. Step 2: Convert to fraction form
    788,586/1,115,832 = 1,115,832/x
  3. Step 3: Cross multiply
    788,586x = 1,115,832 × 1,115,832
  4. Step 4: Simplify right side
    788,586x = 1,245,081,052,224
  5. Step 5: Solve for x
    x = 1,245,081,052,224/788,586
  6. Step 6: Final answer
    x = 1,578,877.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.