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Finding the Third Proportional to 2,184,708 and 4,474,392

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Solution

The third proportional to 2,184,708 and 4,474,392 is: 9,163,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184,708 : 4,474,392 = 4,474,392 : x
  2. Step 2: Convert to fraction form
    2,184,708/4,474,392 = 4,474,392/x
  3. Step 3: Cross multiply
    2,184,708x = 4,474,392 × 4,474,392
  4. Step 4: Simplify right side
    2,184,708x = 20,020,183,769,664
  5. Step 5: Solve for x
    x = 20,020,183,769,664/2,184,708
  6. Step 6: Final answer
    x = 9,163,780.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.