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Finding the Third Proportional to 2,334,564 and 4,922,916

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Solution

The third proportional to 2,334,564 and 4,922,916 is: 10,380,997.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334,564 : 4,922,916 = 4,922,916 : x
  2. Step 2: Convert to fraction form
    2,334,564/4,922,916 = 4,922,916/x
  3. Step 3: Cross multiply
    2,334,564x = 4,922,916 × 4,922,916
  4. Step 4: Simplify right side
    2,334,564x = 24,235,101,943,056
  5. Step 5: Solve for x
    x = 24,235,101,943,056/2,334,564
  6. Step 6: Final answer
    x = 10,380,997.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.