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Finding the Third Proportional to 472,269 and 1,019,166

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Solution

The third proportional to 472,269 and 1,019,166 is: 2,199,380.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,269 : 1,019,166 = 1,019,166 : x
  2. Step 2: Convert to fraction form
    472,269/1,019,166 = 1,019,166/x
  3. Step 3: Cross multiply
    472,269x = 1,019,166 × 1,019,166
  4. Step 4: Simplify right side
    472,269x = 1,038,699,335,556
  5. Step 5: Solve for x
    x = 1,038,699,335,556/472,269
  6. Step 6: Final answer
    x = 2,199,380.72

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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.