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Finding the Third Proportional to 932,800 and 2,061,619

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Solution

The third proportional to 932,800 and 2,061,619 is: 4,556,467.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,800 : 2,061,619 = 2,061,619 : x
  2. Step 2: Convert to fraction form
    932,800/2,061,619 = 2,061,619/x
  3. Step 3: Cross multiply
    932,800x = 2,061,619 × 2,061,619
  4. Step 4: Simplify right side
    932,800x = 4,250,272,901,161
  5. Step 5: Solve for x
    x = 4,250,272,901,161/932,800
  6. Step 6: Final answer
    x = 4,556,467.52

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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.