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Finding the Third Proportional to 699,873 and 1,085,775

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Solution

The third proportional to 699,873 and 1,085,775 is: 1,684,458.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,873 : 1,085,775 = 1,085,775 : x
  2. Step 2: Convert to fraction form
    699,873/1,085,775 = 1,085,775/x
  3. Step 3: Cross multiply
    699,873x = 1,085,775 × 1,085,775
  4. Step 4: Simplify right side
    699,873x = 1,178,907,350,625
  5. Step 5: Solve for x
    x = 1,178,907,350,625/699,873
  6. Step 6: Final answer
    x = 1,684,458.97

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Why These Related Problems?

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