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Finding the Third Proportional to 648,456 and 970,092

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Solution

The third proportional to 648,456 and 970,092 is: 1,451,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,456 : 970,092 = 970,092 : x
  2. Step 2: Convert to fraction form
    648,456/970,092 = 970,092/x
  3. Step 3: Cross multiply
    648,456x = 970,092 × 970,092
  4. Step 4: Simplify right side
    648,456x = 941,078,488,464
  5. Step 5: Solve for x
    x = 941,078,488,464/648,456
  6. Step 6: Final answer
    x = 1,451,260.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.