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Finding the Third Proportional to 401,449 and 882,743

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Solution

The third proportional to 401,449 and 882,743 is: 1,941,056.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,449 : 882,743 = 882,743 : x
  2. Step 2: Convert to fraction form
    401,449/882,743 = 882,743/x
  3. Step 3: Cross multiply
    401,449x = 882,743 × 882,743
  4. Step 4: Simplify right side
    401,449x = 779,235,204,049
  5. Step 5: Solve for x
    x = 779,235,204,049/401,449
  6. Step 6: Final answer
    x = 1,941,056.53

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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.