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Finding the Third Proportional to 1,228,034 and 2,642,692

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Solution

The third proportional to 1,228,034 and 2,642,692 is: 5,686,993.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228,034 : 2,642,692 = 2,642,692 : x
  2. Step 2: Convert to fraction form
    1,228,034/2,642,692 = 2,642,692/x
  3. Step 3: Cross multiply
    1,228,034x = 2,642,692 × 2,642,692
  4. Step 4: Simplify right side
    1,228,034x = 6,983,821,006,864
  5. Step 5: Solve for x
    x = 6,983,821,006,864/1,228,034
  6. Step 6: Final answer
    x = 5,686,993.20

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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.