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Finding the Third Proportional to 416,994 and 915,183

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Solution

The third proportional to 416,994 and 915,183 is: 2,008,565.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,994 : 915,183 = 915,183 : x
  2. Step 2: Convert to fraction form
    416,994/915,183 = 915,183/x
  3. Step 3: Cross multiply
    416,994x = 915,183 × 915,183
  4. Step 4: Simplify right side
    416,994x = 837,559,923,489
  5. Step 5: Solve for x
    x = 837,559,923,489/416,994
  6. Step 6: Final answer
    x = 2,008,565.89

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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.