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Finding the Third Proportional to 825,971 and 1,163,166

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Solution

The third proportional to 825,971 and 1,163,166 is: 1,638,017.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,971 : 1,163,166 = 1,163,166 : x
  2. Step 2: Convert to fraction form
    825,971/1,163,166 = 1,163,166/x
  3. Step 3: Cross multiply
    825,971x = 1,163,166 × 1,163,166
  4. Step 4: Simplify right side
    825,971x = 1,352,955,143,556
  5. Step 5: Solve for x
    x = 1,352,955,143,556/825,971
  6. Step 6: Final answer
    x = 1,638,017.73

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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.