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Finding the Third Proportional to 416,001 and 913,152

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Solution

The third proportional to 416,001 and 913,152 is: 2,004,434.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,001 : 913,152 = 913,152 : x
  2. Step 2: Convert to fraction form
    416,001/913,152 = 913,152/x
  3. Step 3: Cross multiply
    416,001x = 913,152 × 913,152
  4. Step 4: Simplify right side
    416,001x = 833,846,575,104
  5. Step 5: Solve for x
    x = 833,846,575,104/416,001
  6. Step 6: Final answer
    x = 2,004,434.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.