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Finding the Third Proportional to 590,100 and 892,194

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Solution

The third proportional to 590,100 and 892,194 is: 1,348,941.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,100 : 892,194 = 892,194 : x
  2. Step 2: Convert to fraction form
    590,100/892,194 = 892,194/x
  3. Step 3: Cross multiply
    590,100x = 892,194 × 892,194
  4. Step 4: Simplify right side
    590,100x = 796,010,133,636
  5. Step 5: Solve for x
    x = 796,010,133,636/590,100
  6. Step 6: Final answer
    x = 1,348,941.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.