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Finding the Third Proportional to 1,686,789.56 and 3,673,076.63

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Solution

The third proportional to 1,686,789.56 and 3,673,076.63 is: 7,998,325.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686,789.56 : 3,673,076.63 = 3,673,076.63 : x
  2. Step 2: Convert to fraction form
    1,686,789.56/3,673,076.63 = 3,673,076.63/x
  3. Step 3: Cross multiply
    1,686,789.56x = 3,673,076.63 × 3,673,076.63
  4. Step 4: Simplify right side
    1,686,789.56x = 13,491,491,893,121.39
  5. Step 5: Solve for x
    x = 13,491,491,893,121.39/1,686,789.56
  6. Step 6: Final answer
    x = 7,998,325.45

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