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Finding the Third Proportional to 2,578,372 and 5,464,097

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Solution

The third proportional to 2,578,372 and 5,464,097 is: 11,579,537.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578,372 : 5,464,097 = 5,464,097 : x
  2. Step 2: Convert to fraction form
    2,578,372/5,464,097 = 5,464,097/x
  3. Step 3: Cross multiply
    2,578,372x = 5,464,097 × 5,464,097
  4. Step 4: Simplify right side
    2,578,372x = 29,856,356,025,409
  5. Step 5: Solve for x
    x = 29,856,356,025,409/2,578,372
  6. Step 6: Final answer
    x = 11,579,537.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.