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Finding the Third Proportional to 584,222 and 940,589

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Solution

The third proportional to 584,222 and 940,589 is: 1,514,334.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,222 : 940,589 = 940,589 : x
  2. Step 2: Convert to fraction form
    584,222/940,589 = 940,589/x
  3. Step 3: Cross multiply
    584,222x = 940,589 × 940,589
  4. Step 4: Simplify right side
    584,222x = 884,707,666,921
  5. Step 5: Solve for x
    x = 884,707,666,921/584,222
  6. Step 6: Final answer
    x = 1,514,334.73

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.