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Finding the Third Proportional to 437,824 and 945,504

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Solution

The third proportional to 437,824 and 945,504 is: 2,041,865.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,824 : 945,504 = 945,504 : x
  2. Step 2: Convert to fraction form
    437,824/945,504 = 945,504/x
  3. Step 3: Cross multiply
    437,824x = 945,504 × 945,504
  4. Step 4: Simplify right side
    437,824x = 893,977,814,016
  5. Step 5: Solve for x
    x = 893,977,814,016/437,824
  6. Step 6: Final answer
    x = 2,041,865.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.