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Finding the Third Proportional to 772,458 and 1,131,031

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Solution

The third proportional to 772,458 and 1,131,031 is: 1,656,052.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,458 : 1,131,031 = 1,131,031 : x
  2. Step 2: Convert to fraction form
    772,458/1,131,031 = 1,131,031/x
  3. Step 3: Cross multiply
    772,458x = 1,131,031 × 1,131,031
  4. Step 4: Simplify right side
    772,458x = 1,279,231,122,961
  5. Step 5: Solve for x
    x = 1,279,231,122,961/772,458
  6. Step 6: Final answer
    x = 1,656,052.66

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.