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Finding the Third Proportional to 830,991.66 and 1,786,122.14

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Solution

The third proportional to 830,991.66 and 1,786,122.14 is: 3,839,066.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,991.66 : 1,786,122.14 = 1,786,122.14 : x
  2. Step 2: Convert to fraction form
    830,991.66/1,786,122.14 = 1,786,122.14/x
  3. Step 3: Cross multiply
    830,991.66x = 1,786,122.14 × 1,786,122.14
  4. Step 4: Simplify right side
    830,991.66x = 3,190,232,301,230.83
  5. Step 5: Solve for x
    x = 3,190,232,301,230.83/830,991.66
  6. Step 6: Final answer
    x = 3,839,066.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.