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Finding the Third Proportional to 699,744 and 1,113,975

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Solution

The third proportional to 699,744 and 1,113,975 is: 1,773,420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,744 : 1,113,975 = 1,113,975 : x
  2. Step 2: Convert to fraction form
    699,744/1,113,975 = 1,113,975/x
  3. Step 3: Cross multiply
    699,744x = 1,113,975 × 1,113,975
  4. Step 4: Simplify right side
    699,744x = 1,240,940,300,625
  5. Step 5: Solve for x
    x = 1,240,940,300,625/699,744
  6. Step 6: Final answer
    x = 1,773,420.42

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Why These Related Problems?

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