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Finding the Third Proportional to 2,219,670 and 4,769,766

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Solution

The third proportional to 2,219,670 and 4,769,766 is: 10,249,572.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219,670 : 4,769,766 = 4,769,766 : x
  2. Step 2: Convert to fraction form
    2,219,670/4,769,766 = 4,769,766/x
  3. Step 3: Cross multiply
    2,219,670x = 4,769,766 × 4,769,766
  4. Step 4: Simplify right side
    2,219,670x = 22,750,667,694,756
  5. Step 5: Solve for x
    x = 22,750,667,694,756/2,219,670
  6. Step 6: Final answer
    x = 10,249,572.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.