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Finding the Third Proportional to 2,021,138 and 4,322,324

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Solution

The third proportional to 2,021,138 and 4,322,324 is: 9,243,547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,138 : 4,322,324 = 4,322,324 : x
  2. Step 2: Convert to fraction form
    2,021,138/4,322,324 = 4,322,324/x
  3. Step 3: Cross multiply
    2,021,138x = 4,322,324 × 4,322,324
  4. Step 4: Simplify right side
    2,021,138x = 18,682,484,760,976
  5. Step 5: Solve for x
    x = 18,682,484,760,976/2,021,138
  6. Step 6: Final answer
    x = 9,243,547.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.