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Finding the Third Proportional to 1,213,742 and 2,648,668

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Solution

The third proportional to 1,213,742 and 2,648,668 is: 5,780,011.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,742 : 2,648,668 = 2,648,668 : x
  2. Step 2: Convert to fraction form
    1,213,742/2,648,668 = 2,648,668/x
  3. Step 3: Cross multiply
    1,213,742x = 2,648,668 × 2,648,668
  4. Step 4: Simplify right side
    1,213,742x = 7,015,442,174,224
  5. Step 5: Solve for x
    x = 7,015,442,174,224/1,213,742
  6. Step 6: Final answer
    x = 5,780,011.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.