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Finding the Third Proportional to 590,941 and 970,859

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Solution

The third proportional to 590,941 and 970,859 is: 1,595,027.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,941 : 970,859 = 970,859 : x
  2. Step 2: Convert to fraction form
    590,941/970,859 = 970,859/x
  3. Step 3: Cross multiply
    590,941x = 970,859 × 970,859
  4. Step 4: Simplify right side
    590,941x = 942,567,197,881
  5. Step 5: Solve for x
    x = 942,567,197,881/590,941
  6. Step 6: Final answer
    x = 1,595,027.59

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.