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Finding the Third Proportional to 932,802 and 2,061,623

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Solution

The third proportional to 932,802 and 2,061,623 is: 4,556,475.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,802 : 2,061,623 = 2,061,623 : x
  2. Step 2: Convert to fraction form
    932,802/2,061,623 = 2,061,623/x
  3. Step 3: Cross multiply
    932,802x = 2,061,623 × 2,061,623
  4. Step 4: Simplify right side
    932,802x = 4,250,289,394,129
  5. Step 5: Solve for x
    x = 4,250,289,394,129/932,802
  6. Step 6: Final answer
    x = 4,556,475.43

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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.