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Finding the Third Proportional to 1,029,883 and 2,255,956

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Solution

The third proportional to 1,029,883 and 2,255,956 is: 4,941,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,883 : 2,255,956 = 2,255,956 : x
  2. Step 2: Convert to fraction form
    1,029,883/2,255,956 = 2,255,956/x
  3. Step 3: Cross multiply
    1,029,883x = 2,255,956 × 2,255,956
  4. Step 4: Simplify right side
    1,029,883x = 5,089,337,473,936
  5. Step 5: Solve for x
    x = 5,089,337,473,936/1,029,883
  6. Step 6: Final answer
    x = 4,941,665.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.