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Finding the Third Proportional to 2,425,218 and 5,281,002

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Solution

The third proportional to 2,425,218 and 5,281,002 is: 11,499,577.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425,218 : 5,281,002 = 5,281,002 : x
  2. Step 2: Convert to fraction form
    2,425,218/5,281,002 = 5,281,002/x
  3. Step 3: Cross multiply
    2,425,218x = 5,281,002 × 5,281,002
  4. Step 4: Simplify right side
    2,425,218x = 27,888,982,124,004
  5. Step 5: Solve for x
    x = 27,888,982,124,004/2,425,218
  6. Step 6: Final answer
    x = 11,499,577.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.