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Finding the Third Proportional to 572,978 and 1,214,256

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Solution

The third proportional to 572,978 and 1,214,256 is: 2,573,253.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,978 : 1,214,256 = 1,214,256 : x
  2. Step 2: Convert to fraction form
    572,978/1,214,256 = 1,214,256/x
  3. Step 3: Cross multiply
    572,978x = 1,214,256 × 1,214,256
  4. Step 4: Simplify right side
    572,978x = 1,474,417,633,536
  5. Step 5: Solve for x
    x = 1,474,417,633,536/572,978
  6. Step 6: Final answer
    x = 2,573,253.48

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.