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Finding the Third Proportional to 407,275 and 894,843

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Solution

The third proportional to 407,275 and 894,843 is: 1,966,101.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,275 : 894,843 = 894,843 : x
  2. Step 2: Convert to fraction form
    407,275/894,843 = 894,843/x
  3. Step 3: Cross multiply
    407,275x = 894,843 × 894,843
  4. Step 4: Simplify right side
    407,275x = 800,743,994,649
  5. Step 5: Solve for x
    x = 800,743,994,649/407,275
  6. Step 6: Final answer
    x = 1,966,101.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.