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Finding the Third Proportional to 703,612 and 1,659,314

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Solution

The third proportional to 703,612 and 1,659,314 is: 3,913,126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,612 : 1,659,314 = 1,659,314 : x
  2. Step 2: Convert to fraction form
    703,612/1,659,314 = 1,659,314/x
  3. Step 3: Cross multiply
    703,612x = 1,659,314 × 1,659,314
  4. Step 4: Simplify right side
    703,612x = 2,753,322,950,596
  5. Step 5: Solve for x
    x = 2,753,322,950,596/703,612
  6. Step 6: Final answer
    x = 3,913,126.77

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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.