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Finding the Third Proportional to 1,932,544 and 4,098,944

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Solution

The third proportional to 1,932,544 and 4,098,944 is: 8,693,898.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932,544 : 4,098,944 = 4,098,944 : x
  2. Step 2: Convert to fraction form
    1,932,544/4,098,944 = 4,098,944/x
  3. Step 3: Cross multiply
    1,932,544x = 4,098,944 × 4,098,944
  4. Step 4: Simplify right side
    1,932,544x = 16,801,341,915,136
  5. Step 5: Solve for x
    x = 16,801,341,915,136/1,932,544
  6. Step 6: Final answer
    x = 8,693,898.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.