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Finding the Third Proportional to 772,722 and 1,182,029

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Solution

The third proportional to 772,722 and 1,182,029 is: 1,808,143.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,722 : 1,182,029 = 1,182,029 : x
  2. Step 2: Convert to fraction form
    772,722/1,182,029 = 1,182,029/x
  3. Step 3: Cross multiply
    772,722x = 1,182,029 × 1,182,029
  4. Step 4: Simplify right side
    772,722x = 1,397,192,556,841
  5. Step 5: Solve for x
    x = 1,397,192,556,841/772,722
  6. Step 6: Final answer
    x = 1,808,143.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.