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Finding the Third Proportional to 439,422 and 945,084

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Solution

The third proportional to 439,422 and 945,084 is: 2,032,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,422 : 945,084 = 945,084 : x
  2. Step 2: Convert to fraction form
    439,422/945,084 = 945,084/x
  3. Step 3: Cross multiply
    439,422x = 945,084 × 945,084
  4. Step 4: Simplify right side
    439,422x = 893,183,767,056
  5. Step 5: Solve for x
    x = 893,183,767,056/439,422
  6. Step 6: Final answer
    x = 2,032,633.25

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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.