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Finding the Third Proportional to 630,244 and 945,824

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Solution

The third proportional to 630,244 and 945,824 is: 1,419,423.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,244 : 945,824 = 945,824 : x
  2. Step 2: Convert to fraction form
    630,244/945,824 = 945,824/x
  3. Step 3: Cross multiply
    630,244x = 945,824 × 945,824
  4. Step 4: Simplify right side
    630,244x = 894,583,038,976
  5. Step 5: Solve for x
    x = 894,583,038,976/630,244
  6. Step 6: Final answer
    x = 1,419,423.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.