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Finding the Third Proportional to 441,054 and 966,166

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Solution

The third proportional to 441,054 and 966,166 is: 2,116,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,054 : 966,166 = 966,166 : x
  2. Step 2: Convert to fraction form
    441,054/966,166 = 966,166/x
  3. Step 3: Cross multiply
    441,054x = 966,166 × 966,166
  4. Step 4: Simplify right side
    441,054x = 933,476,739,556
  5. Step 5: Solve for x
    x = 933,476,739,556/441,054
  6. Step 6: Final answer
    x = 2,116,468.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.