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Finding the Third Proportional to 1,408,617 and 2,933,970

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Solution

The third proportional to 1,408,617 and 2,933,970 is: 6,111,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408,617 : 2,933,970 = 2,933,970 : x
  2. Step 2: Convert to fraction form
    1,408,617/2,933,970 = 2,933,970/x
  3. Step 3: Cross multiply
    1,408,617x = 2,933,970 × 2,933,970
  4. Step 4: Simplify right side
    1,408,617x = 8,608,179,960,900
  5. Step 5: Solve for x
    x = 8,608,179,960,900/1,408,617
  6. Step 6: Final answer
    x = 6,111,086.24

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.