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Finding the Third Proportional to 367,092 and 812,794

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Solution

The third proportional to 367,092 and 812,794 is: 1,799,641.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,092 : 812,794 = 812,794 : x
  2. Step 2: Convert to fraction form
    367,092/812,794 = 812,794/x
  3. Step 3: Cross multiply
    367,092x = 812,794 × 812,794
  4. Step 4: Simplify right side
    367,092x = 660,634,086,436
  5. Step 5: Solve for x
    x = 660,634,086,436/367,092
  6. Step 6: Final answer
    x = 1,799,641.74

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.