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Finding the Third Proportional to 2,484,224 and 5,322,578

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Solution

The third proportional to 2,484,224 and 5,322,578 is: 11,403,897.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484,224 : 5,322,578 = 5,322,578 : x
  2. Step 2: Convert to fraction form
    2,484,224/5,322,578 = 5,322,578/x
  3. Step 3: Cross multiply
    2,484,224x = 5,322,578 × 5,322,578
  4. Step 4: Simplify right side
    2,484,224x = 28,329,836,566,084
  5. Step 5: Solve for x
    x = 28,329,836,566,084/2,484,224
  6. Step 6: Final answer
    x = 11,403,897.78

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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.