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Finding the Third Proportional to 780,832.13 and 1,181,089.13

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Solution

The third proportional to 780,832.13 and 1,181,089.13 is: 1,786,519.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,832.13 : 1,181,089.13 = 1,181,089.13 : x
  2. Step 2: Convert to fraction form
    780,832.13/1,181,089.13 = 1,181,089.13/x
  3. Step 3: Cross multiply
    780,832.13x = 1,181,089.13 × 1,181,089.13
  4. Step 4: Simplify right side
    780,832.13x = 1,394,971,521,193.27
  5. Step 5: Solve for x
    x = 1,394,971,521,193.27/780,832.13
  6. Step 6: Final answer
    x = 1,786,519.12

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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.