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Finding the Third Proportional to 631,987 and 894,243

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Solution

The third proportional to 631,987 and 894,243 is: 1,265,327.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,987 : 894,243 = 894,243 : x
  2. Step 2: Convert to fraction form
    631,987/894,243 = 894,243/x
  3. Step 3: Cross multiply
    631,987x = 894,243 × 894,243
  4. Step 4: Simplify right side
    631,987x = 799,670,543,049
  5. Step 5: Solve for x
    x = 799,670,543,049/631,987
  6. Step 6: Final answer
    x = 1,265,327.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.