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Finding the Third Proportional to 1,467,947 and 2,268,719

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Solution

The third proportional to 1,467,947 and 2,268,719 is: 3,506,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467,947 : 2,268,719 = 2,268,719 : x
  2. Step 2: Convert to fraction form
    1,467,947/2,268,719 = 2,268,719/x
  3. Step 3: Cross multiply
    1,467,947x = 2,268,719 × 2,268,719
  4. Step 4: Simplify right side
    1,467,947x = 5,147,085,900,961
  5. Step 5: Solve for x
    x = 5,147,085,900,961/1,467,947
  6. Step 6: Final answer
    x = 3,506,315.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.