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Finding the Third Proportional to 698,736 and 1,108,200

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Solution

The third proportional to 698,736 and 1,108,200 is: 1,757,612.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,736 : 1,108,200 = 1,108,200 : x
  2. Step 2: Convert to fraction form
    698,736/1,108,200 = 1,108,200/x
  3. Step 3: Cross multiply
    698,736x = 1,108,200 × 1,108,200
  4. Step 4: Simplify right side
    698,736x = 1,228,107,240,000
  5. Step 5: Solve for x
    x = 1,228,107,240,000/698,736
  6. Step 6: Final answer
    x = 1,757,612.66

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.