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Finding the Third Proportional to 703,566.94 and 1,659,206.25

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Solution

The third proportional to 703,566.94 and 1,659,206.25 is: 3,912,869.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,566.94 : 1,659,206.25 = 1,659,206.25 : x
  2. Step 2: Convert to fraction form
    703,566.94/1,659,206.25 = 1,659,206.25/x
  3. Step 3: Cross multiply
    703,566.94x = 1,659,206.25 × 1,659,206.25
  4. Step 4: Simplify right side
    703,566.94x = 2,752,965,380,039.06
  5. Step 5: Solve for x
    x = 2,752,965,380,039.06/703,566.94
  6. Step 6: Final answer
    x = 3,912,869.17

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Why These Related Problems?

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