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Finding the Third Proportional to 444,010 and 970,964

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Solution

The third proportional to 444,010 and 970,964 is: 2,123,310.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,010 : 970,964 = 970,964 : x
  2. Step 2: Convert to fraction form
    444,010/970,964 = 970,964/x
  3. Step 3: Cross multiply
    444,010x = 970,964 × 970,964
  4. Step 4: Simplify right side
    444,010x = 942,771,089,296
  5. Step 5: Solve for x
    x = 942,771,089,296/444,010
  6. Step 6: Final answer
    x = 2,123,310.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.