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Finding the Third Proportional to 831,006.75 and 1,786,139.25

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Solution

The third proportional to 831,006.75 and 1,786,139.25 is: 3,839,070.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,006.75 : 1,786,139.25 = 1,786,139.25 : x
  2. Step 2: Convert to fraction form
    831,006.75/1,786,139.25 = 1,786,139.25/x
  3. Step 3: Cross multiply
    831,006.75x = 1,786,139.25 × 1,786,139.25
  4. Step 4: Simplify right side
    831,006.75x = 3,190,293,420,390.56
  5. Step 5: Solve for x
    x = 3,190,293,420,390.56/831,006.75
  6. Step 6: Final answer
    x = 3,839,070.41

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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.