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Finding the Third Proportional to 609,174 and 892,976

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Solution

The third proportional to 609,174 and 892,976 is: 1,308,995.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,174 : 892,976 = 892,976 : x
  2. Step 2: Convert to fraction form
    609,174/892,976 = 892,976/x
  3. Step 3: Cross multiply
    609,174x = 892,976 × 892,976
  4. Step 4: Simplify right side
    609,174x = 797,406,136,576
  5. Step 5: Solve for x
    x = 797,406,136,576/609,174
  6. Step 6: Final answer
    x = 1,308,995.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.