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Finding the Third Proportional to 815,736 and 1,749,531

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Solution

The third proportional to 815,736 and 1,749,531 is: 3,752,266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,736 : 1,749,531 = 1,749,531 : x
  2. Step 2: Convert to fraction form
    815,736/1,749,531 = 1,749,531/x
  3. Step 3: Cross multiply
    815,736x = 1,749,531 × 1,749,531
  4. Step 4: Simplify right side
    815,736x = 3,060,858,719,961
  5. Step 5: Solve for x
    x = 3,060,858,719,961/815,736
  6. Step 6: Final answer
    x = 3,752,266.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.