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Finding the Third Proportional to 665,664 and 1,436,288

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Solution

The third proportional to 665,664 and 1,436,288 is: 3,099,045.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,664 : 1,436,288 = 1,436,288 : x
  2. Step 2: Convert to fraction form
    665,664/1,436,288 = 1,436,288/x
  3. Step 3: Cross multiply
    665,664x = 1,436,288 × 1,436,288
  4. Step 4: Simplify right side
    665,664x = 2,062,923,218,944
  5. Step 5: Solve for x
    x = 2,062,923,218,944/665,664
  6. Step 6: Final answer
    x = 3,099,045.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.