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Finding the Third Proportional to 698,736 and 1,642,512

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Solution

The third proportional to 698,736 and 1,642,512 is: 3,861,037.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,736 : 1,642,512 = 1,642,512 : x
  2. Step 2: Convert to fraction form
    698,736/1,642,512 = 1,642,512/x
  3. Step 3: Cross multiply
    698,736x = 1,642,512 × 1,642,512
  4. Step 4: Simplify right side
    698,736x = 2,697,845,670,144
  5. Step 5: Solve for x
    x = 2,697,845,670,144/698,736
  6. Step 6: Final answer
    x = 3,861,037.17

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.