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Finding the Third Proportional to 441,396 and 945,000

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Solution

The third proportional to 441,396 and 945,000 is: 2,023,183.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,396 : 945,000 = 945,000 : x
  2. Step 2: Convert to fraction form
    441,396/945,000 = 945,000/x
  3. Step 3: Cross multiply
    441,396x = 945,000 × 945,000
  4. Step 4: Simplify right side
    441,396x = 893,025,000,000
  5. Step 5: Solve for x
    x = 893,025,000,000/441,396
  6. Step 6: Final answer
    x = 2,023,183.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.