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Finding the Third Proportional to 401,062 and 891,786

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Solution

The third proportional to 401,062 and 891,786 is: 1,982,940.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,062 : 891,786 = 891,786 : x
  2. Step 2: Convert to fraction form
    401,062/891,786 = 891,786/x
  3. Step 3: Cross multiply
    401,062x = 891,786 × 891,786
  4. Step 4: Simplify right side
    401,062x = 795,282,269,796
  5. Step 5: Solve for x
    x = 795,282,269,796/401,062
  6. Step 6: Final answer
    x = 1,982,940.97

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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.