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Finding the Third Proportional to 1,289,175 and 2,732,027

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Solution

The third proportional to 1,289,175 and 2,732,027 is: 5,789,727.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,175 : 2,732,027 = 2,732,027 : x
  2. Step 2: Convert to fraction form
    1,289,175/2,732,027 = 2,732,027/x
  3. Step 3: Cross multiply
    1,289,175x = 2,732,027 × 2,732,027
  4. Step 4: Simplify right side
    1,289,175x = 7,463,971,528,729
  5. Step 5: Solve for x
    x = 7,463,971,528,729/1,289,175
  6. Step 6: Final answer
    x = 5,789,727.17

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.