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Finding the Third Proportional to 1,765,904 and 3,691,698

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Solution

The third proportional to 1,765,904 and 3,691,698 is: 7,717,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765,904 : 3,691,698 = 3,691,698 : x
  2. Step 2: Convert to fraction form
    1,765,904/3,691,698 = 3,691,698/x
  3. Step 3: Cross multiply
    1,765,904x = 3,691,698 × 3,691,698
  4. Step 4: Simplify right side
    1,765,904x = 13,628,634,123,204
  5. Step 5: Solve for x
    x = 13,628,634,123,204/1,765,904
  6. Step 6: Final answer
    x = 7,717,652.90

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.