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Finding the Third Proportional to 1,433,967 and 3,120,815

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Solution

The third proportional to 1,433,967 and 3,120,815 is: 6,791,987.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433,967 : 3,120,815 = 3,120,815 : x
  2. Step 2: Convert to fraction form
    1,433,967/3,120,815 = 3,120,815/x
  3. Step 3: Cross multiply
    1,433,967x = 3,120,815 × 3,120,815
  4. Step 4: Simplify right side
    1,433,967x = 9,739,486,264,225
  5. Step 5: Solve for x
    x = 9,739,486,264,225/1,433,967
  6. Step 6: Final answer
    x = 6,791,987.73

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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.