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Finding the Third Proportional to 449,059 and 972,861

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Solution

The third proportional to 449,059 and 972,861 is: 2,107,648.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,059 : 972,861 = 972,861 : x
  2. Step 2: Convert to fraction form
    449,059/972,861 = 972,861/x
  3. Step 3: Cross multiply
    449,059x = 972,861 × 972,861
  4. Step 4: Simplify right side
    449,059x = 946,458,525,321
  5. Step 5: Solve for x
    x = 946,458,525,321/449,059
  6. Step 6: Final answer
    x = 2,107,648.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.