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Finding the Third Proportional to 772,449.75 and 1,131,021

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Solution

The third proportional to 772,449.75 and 1,131,021 is: 1,656,041.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,449.75 : 1,131,021 = 1,131,021 : x
  2. Step 2: Convert to fraction form
    772,449.75/1,131,021 = 1,131,021/x
  3. Step 3: Cross multiply
    772,449.75x = 1,131,021 × 1,131,021
  4. Step 4: Simplify right side
    772,449.75x = 1,279,208,502,441
  5. Step 5: Solve for x
    x = 1,279,208,502,441/772,449.75
  6. Step 6: Final answer
    x = 1,656,041.06

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Why These Related Problems?

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