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Finding the Third Proportional to 680,127.75 and 1,061,556.75

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Solution

The third proportional to 680,127.75 and 1,061,556.75 is: 1,656,898.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,127.75 : 1,061,556.75 = 1,061,556.75 : x
  2. Step 2: Convert to fraction form
    680,127.75/1,061,556.75 = 1,061,556.75/x
  3. Step 3: Cross multiply
    680,127.75x = 1,061,556.75 × 1,061,556.75
  4. Step 4: Simplify right side
    680,127.75x = 1,126,902,733,470.56
  5. Step 5: Solve for x
    x = 1,126,902,733,470.56/680,127.75
  6. Step 6: Final answer
    x = 1,656,898.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.