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Finding the Third Proportional to 592,206 and 844,021

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Solution

The third proportional to 592,206 and 844,021 is: 1,202,911.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,206 : 844,021 = 844,021 : x
  2. Step 2: Convert to fraction form
    592,206/844,021 = 844,021/x
  3. Step 3: Cross multiply
    592,206x = 844,021 × 844,021
  4. Step 4: Simplify right side
    592,206x = 712,371,448,441
  5. Step 5: Solve for x
    x = 712,371,448,441/592,206
  6. Step 6: Final answer
    x = 1,202,911.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.