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Finding the Third Proportional to 952,982 and 1,858,086

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Solution

The third proportional to 952,982 and 1,858,086 is: 3,622,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,982 : 1,858,086 = 1,858,086 : x
  2. Step 2: Convert to fraction form
    952,982/1,858,086 = 1,858,086/x
  3. Step 3: Cross multiply
    952,982x = 1,858,086 × 1,858,086
  4. Step 4: Simplify right side
    952,982x = 3,452,483,583,396
  5. Step 5: Solve for x
    x = 3,452,483,583,396/952,982
  6. Step 6: Final answer
    x = 3,622,821.40

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.