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Finding the Third Proportional to 401,610 and 844,635

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Solution

The third proportional to 401,610 and 844,635 is: 1,776,370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,610 : 844,635 = 844,635 : x
  2. Step 2: Convert to fraction form
    401,610/844,635 = 844,635/x
  3. Step 3: Cross multiply
    401,610x = 844,635 × 844,635
  4. Step 4: Simplify right side
    401,610x = 713,408,283,225
  5. Step 5: Solve for x
    x = 713,408,283,225/401,610
  6. Step 6: Final answer
    x = 1,776,370.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.