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Finding the Third Proportional to 1,683,534.38 and 3,681,996.75

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Solution

The third proportional to 1,683,534.38 and 3,681,996.75 is: 8,052,761.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,534.38 : 3,681,996.75 = 3,681,996.75 : x
  2. Step 2: Convert to fraction form
    1,683,534.38/3,681,996.75 = 3,681,996.75/x
  3. Step 3: Cross multiply
    1,683,534.38x = 3,681,996.75 × 3,681,996.75
  4. Step 4: Simplify right side
    1,683,534.38x = 13,557,100,067,010.56
  5. Step 5: Solve for x
    x = 13,557,100,067,010.56/1,683,534.38
  6. Step 6: Final answer
    x = 8,052,761.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.