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Finding the Third Proportional to 704,847 and 1,058,831

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Solution

The third proportional to 704,847 and 1,058,831 is: 1,590,590.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,847 : 1,058,831 = 1,058,831 : x
  2. Step 2: Convert to fraction form
    704,847/1,058,831 = 1,058,831/x
  3. Step 3: Cross multiply
    704,847x = 1,058,831 × 1,058,831
  4. Step 4: Simplify right side
    704,847x = 1,121,123,086,561
  5. Step 5: Solve for x
    x = 1,121,123,086,561/704,847
  6. Step 6: Final answer
    x = 1,590,590.70

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Why These Related Problems?

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