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Finding the Third Proportional to 1,681,908.75 and 3,672,083.25

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Solution

The third proportional to 1,681,908.75 and 3,672,083.25 is: 8,017,197.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,908.75 : 3,672,083.25 = 3,672,083.25 : x
  2. Step 2: Convert to fraction form
    1,681,908.75/3,672,083.25 = 3,672,083.25/x
  3. Step 3: Cross multiply
    1,681,908.75x = 3,672,083.25 × 3,672,083.25
  4. Step 4: Simplify right side
    1,681,908.75x = 13,484,195,394,930.56
  5. Step 5: Solve for x
    x = 13,484,195,394,930.56/1,681,908.75
  6. Step 6: Final answer
    x = 8,017,197.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.