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Finding the Third Proportional to 471,220 and 1,017,162

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Solution

The third proportional to 471,220 and 1,017,162 is: 2,195,616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,220 : 1,017,162 = 1,017,162 : x
  2. Step 2: Convert to fraction form
    471,220/1,017,162 = 1,017,162/x
  3. Step 3: Cross multiply
    471,220x = 1,017,162 × 1,017,162
  4. Step 4: Simplify right side
    471,220x = 1,034,618,534,244
  5. Step 5: Solve for x
    x = 1,034,618,534,244/471,220
  6. Step 6: Final answer
    x = 2,195,616.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.