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Finding the Third Proportional to 722,234.25 and 1,708,002

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Solution

The third proportional to 722,234.25 and 1,708,002 is: 4,039,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,234.25 : 1,708,002 = 1,708,002 : x
  2. Step 2: Convert to fraction form
    722,234.25/1,708,002 = 1,708,002/x
  3. Step 3: Cross multiply
    722,234.25x = 1,708,002 × 1,708,002
  4. Step 4: Simplify right side
    722,234.25x = 2,917,270,832,004
  5. Step 5: Solve for x
    x = 2,917,270,832,004/722,234.25
  6. Step 6: Final answer
    x = 4,039,230.81

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.