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Finding the Third Proportional to 2,219,668 and 4,769,762

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Solution

The third proportional to 2,219,668 and 4,769,762 is: 10,249,564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219,668 : 4,769,762 = 4,769,762 : x
  2. Step 2: Convert to fraction form
    2,219,668/4,769,762 = 4,769,762/x
  3. Step 3: Cross multiply
    2,219,668x = 4,769,762 × 4,769,762
  4. Step 4: Simplify right side
    2,219,668x = 22,750,629,536,644
  5. Step 5: Solve for x
    x = 22,750,629,536,644/2,219,668
  6. Step 6: Final answer
    x = 10,249,564.14

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