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Finding the Third Proportional to 1,204,520 and 1,605,836

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Solution

The third proportional to 1,204,520 and 1,605,836 is: 2,140,860.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,520 : 1,605,836 = 1,605,836 : x
  2. Step 2: Convert to fraction form
    1,204,520/1,605,836 = 1,605,836/x
  3. Step 3: Cross multiply
    1,204,520x = 1,605,836 × 1,605,836
  4. Step 4: Simplify right side
    1,204,520x = 2,578,709,258,896
  5. Step 5: Solve for x
    x = 2,578,709,258,896/1,204,520
  6. Step 6: Final answer
    x = 2,140,860.47

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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.