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Finding the Third Proportional to 722,446 and 1,581,917

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Solution

The third proportional to 722,446 and 1,581,917 is: 3,463,873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,446 : 1,581,917 = 1,581,917 : x
  2. Step 2: Convert to fraction form
    722,446/1,581,917 = 1,581,917/x
  3. Step 3: Cross multiply
    722,446x = 1,581,917 × 1,581,917
  4. Step 4: Simplify right side
    722,446x = 2,502,461,394,889
  5. Step 5: Solve for x
    x = 2,502,461,394,889/722,446
  6. Step 6: Final answer
    x = 3,463,873.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.