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Finding the Third Proportional to 447,576 and 973,064

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Solution

The third proportional to 447,576 and 973,064 is: 2,115,514.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,576 : 973,064 = 973,064 : x
  2. Step 2: Convert to fraction form
    447,576/973,064 = 973,064/x
  3. Step 3: Cross multiply
    447,576x = 973,064 × 973,064
  4. Step 4: Simplify right side
    447,576x = 946,853,548,096
  5. Step 5: Solve for x
    x = 946,853,548,096/447,576
  6. Step 6: Final answer
    x = 2,115,514.57

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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.