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Finding the Third Proportional to 763,944 and 1,663,824

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Solution

The third proportional to 763,944 and 1,663,824 is: 3,623,708.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,944 : 1,663,824 = 1,663,824 : x
  2. Step 2: Convert to fraction form
    763,944/1,663,824 = 1,663,824/x
  3. Step 3: Cross multiply
    763,944x = 1,663,824 × 1,663,824
  4. Step 4: Simplify right side
    763,944x = 2,768,310,302,976
  5. Step 5: Solve for x
    x = 2,768,310,302,976/763,944
  6. Step 6: Final answer
    x = 3,623,708.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.