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Finding the Third Proportional to 946,024 and 2,032,016

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Solution

The third proportional to 946,024 and 2,032,016 is: 4,364,676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,024 : 2,032,016 = 2,032,016 : x
  2. Step 2: Convert to fraction form
    946,024/2,032,016 = 2,032,016/x
  3. Step 3: Cross multiply
    946,024x = 2,032,016 × 2,032,016
  4. Step 4: Simplify right side
    946,024x = 4,129,089,024,256
  5. Step 5: Solve for x
    x = 4,129,089,024,256/946,024
  6. Step 6: Final answer
    x = 4,364,676.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.