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Finding the Third Proportional to 699,938 and 1,085,859

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Solution

The third proportional to 699,938 and 1,085,859 is: 1,684,563.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,938 : 1,085,859 = 1,085,859 : x
  2. Step 2: Convert to fraction form
    699,938/1,085,859 = 1,085,859/x
  3. Step 3: Cross multiply
    699,938x = 1,085,859 × 1,085,859
  4. Step 4: Simplify right side
    699,938x = 1,179,089,767,881
  5. Step 5: Solve for x
    x = 1,179,089,767,881/699,938
  6. Step 6: Final answer
    x = 1,684,563.16

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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.