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Finding the Third Proportional to 538,510 and 844,834

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Solution

The third proportional to 538,510 and 844,834 is: 1,325,406.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,510 : 844,834 = 844,834 : x
  2. Step 2: Convert to fraction form
    538,510/844,834 = 844,834/x
  3. Step 3: Cross multiply
    538,510x = 844,834 × 844,834
  4. Step 4: Simplify right side
    538,510x = 713,744,487,556
  5. Step 5: Solve for x
    x = 713,744,487,556/538,510
  6. Step 6: Final answer
    x = 1,325,406.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.