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Finding the Third Proportional to 1,408,624 and 2,933,984

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Solution

The third proportional to 1,408,624 and 2,933,984 is: 6,111,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408,624 : 2,933,984 = 2,933,984 : x
  2. Step 2: Convert to fraction form
    1,408,624/2,933,984 = 2,933,984/x
  3. Step 3: Cross multiply
    1,408,624x = 2,933,984 × 2,933,984
  4. Step 4: Simplify right side
    1,408,624x = 8,608,262,112,256
  5. Step 5: Solve for x
    x = 8,608,262,112,256/1,408,624
  6. Step 6: Final answer
    x = 6,111,114.19

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Why These Related Problems?

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