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Finding the Third Proportional to 401,056 and 891,774

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Solution

The third proportional to 401,056 and 891,774 is: 1,982,917.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,056 : 891,774 = 891,774 : x
  2. Step 2: Convert to fraction form
    401,056/891,774 = 891,774/x
  3. Step 3: Cross multiply
    401,056x = 891,774 × 891,774
  4. Step 4: Simplify right side
    401,056x = 795,260,867,076
  5. Step 5: Solve for x
    x = 795,260,867,076/401,056
  6. Step 6: Final answer
    x = 1,982,917.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.