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Finding the Third Proportional to 946,327.43 and 2,052,374.20

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Solution

The third proportional to 946,327.43 and 2,052,374.20 is: 4,451,144.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,327.43 : 2,052,374.20 = 2,052,374.20 : x
  2. Step 2: Convert to fraction form
    946,327.43/2,052,374.20 = 2,052,374.20/x
  3. Step 3: Cross multiply
    946,327.43x = 2,052,374.20 × 2,052,374.20
  4. Step 4: Simplify right side
    946,327.43x = 4,212,239,869,652.98
  5. Step 5: Solve for x
    x = 4,212,239,869,652.98/946,327.43
  6. Step 6: Final answer
    x = 4,451,144.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.