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Finding the Third Proportional to 694,709 and 1,084,080

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Solution

The third proportional to 694,709 and 1,084,080 is: 1,691,685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,709 : 1,084,080 = 1,084,080 : x
  2. Step 2: Convert to fraction form
    694,709/1,084,080 = 1,084,080/x
  3. Step 3: Cross multiply
    694,709x = 1,084,080 × 1,084,080
  4. Step 4: Simplify right side
    694,709x = 1,175,229,446,400
  5. Step 5: Solve for x
    x = 1,175,229,446,400/694,709
  6. Step 6: Final answer
    x = 1,691,685.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.