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Finding the Third Proportional to 534,009 and 1,087,848

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Solution

The third proportional to 534,009 and 1,087,848 is: 2,216,092.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,009 : 1,087,848 = 1,087,848 : x
  2. Step 2: Convert to fraction form
    534,009/1,087,848 = 1,087,848/x
  3. Step 3: Cross multiply
    534,009x = 1,087,848 × 1,087,848
  4. Step 4: Simplify right side
    534,009x = 1,183,413,271,104
  5. Step 5: Solve for x
    x = 1,183,413,271,104/534,009
  6. Step 6: Final answer
    x = 2,216,092.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.