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Finding the Third Proportional to 2,449,456 and 5,293,224

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Solution

The third proportional to 2,449,456 and 5,293,224 is: 11,438,548.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449,456 : 5,293,224 = 5,293,224 : x
  2. Step 2: Convert to fraction form
    2,449,456/5,293,224 = 5,293,224/x
  3. Step 3: Cross multiply
    2,449,456x = 5,293,224 × 5,293,224
  4. Step 4: Simplify right side
    2,449,456x = 28,018,220,314,176
  5. Step 5: Solve for x
    x = 28,018,220,314,176/2,449,456
  6. Step 6: Final answer
    x = 11,438,548.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.