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Finding the Third Proportional to 1,204,616 and 1,605,982

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Solution

The third proportional to 1,204,616 and 1,605,982 is: 2,141,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,616 : 1,605,982 = 1,605,982 : x
  2. Step 2: Convert to fraction form
    1,204,616/1,605,982 = 1,605,982/x
  3. Step 3: Cross multiply
    1,204,616x = 1,605,982 × 1,605,982
  4. Step 4: Simplify right side
    1,204,616x = 2,579,178,184,324
  5. Step 5: Solve for x
    x = 2,579,178,184,324/1,204,616
  6. Step 6: Final answer
    x = 2,141,079.14

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.