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Finding the Third Proportional to 665,292 and 1,603,974

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Solution

The third proportional to 665,292 and 1,603,974 is: 3,867,072.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,292 : 1,603,974 = 1,603,974 : x
  2. Step 2: Convert to fraction form
    665,292/1,603,974 = 1,603,974/x
  3. Step 3: Cross multiply
    665,292x = 1,603,974 × 1,603,974
  4. Step 4: Simplify right side
    665,292x = 2,572,732,592,676
  5. Step 5: Solve for x
    x = 2,572,732,592,676/665,292
  6. Step 6: Final answer
    x = 3,867,072.79

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.