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Finding the Third Proportional to 783,220 and 1,694,744

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Solution

The third proportional to 783,220 and 1,694,744 is: 3,667,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,220 : 1,694,744 = 1,694,744 : x
  2. Step 2: Convert to fraction form
    783,220/1,694,744 = 1,694,744/x
  3. Step 3: Cross multiply
    783,220x = 1,694,744 × 1,694,744
  4. Step 4: Simplify right side
    783,220x = 2,872,157,225,536
  5. Step 5: Solve for x
    x = 2,872,157,225,536/783,220
  6. Step 6: Final answer
    x = 3,667,114.25

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Why These Related Problems?

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