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Finding the Third Proportional to 699,936 and 1,085,856

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Solution

The third proportional to 699,936 and 1,085,856 is: 1,684,558.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,936 : 1,085,856 = 1,085,856 : x
  2. Step 2: Convert to fraction form
    699,936/1,085,856 = 1,085,856/x
  3. Step 3: Cross multiply
    699,936x = 1,085,856 × 1,085,856
  4. Step 4: Simplify right side
    699,936x = 1,179,083,252,736
  5. Step 5: Solve for x
    x = 1,179,083,252,736/699,936
  6. Step 6: Final answer
    x = 1,684,558.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.