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Finding the Third Proportional to 444,592 and 973,505

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Solution

The third proportional to 444,592 and 973,505 is: 2,131,644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,592 : 973,505 = 973,505 : x
  2. Step 2: Convert to fraction form
    444,592/973,505 = 973,505/x
  3. Step 3: Cross multiply
    444,592x = 973,505 × 973,505
  4. Step 4: Simplify right side
    444,592x = 947,711,985,025
  5. Step 5: Solve for x
    x = 947,711,985,025/444,592
  6. Step 6: Final answer
    x = 2,131,644.26

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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.