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Finding the Third Proportional to 2,342,334 and 5,422,002

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Solution

The third proportional to 2,342,334 and 5,422,002 is: 12,550,774.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342,334 : 5,422,002 = 5,422,002 : x
  2. Step 2: Convert to fraction form
    2,342,334/5,422,002 = 5,422,002/x
  3. Step 3: Cross multiply
    2,342,334x = 5,422,002 × 5,422,002
  4. Step 4: Simplify right side
    2,342,334x = 29,398,105,688,004
  5. Step 5: Solve for x
    x = 29,398,105,688,004/2,342,334
  6. Step 6: Final answer
    x = 12,550,774.44

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.