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Finding the Third Proportional to 416,003 and 913,156

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Solution

The third proportional to 416,003 and 913,156 is: 2,004,441.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,003 : 913,156 = 913,156 : x
  2. Step 2: Convert to fraction form
    416,003/913,156 = 913,156/x
  3. Step 3: Cross multiply
    416,003x = 913,156 × 913,156
  4. Step 4: Simplify right side
    416,003x = 833,853,880,336
  5. Step 5: Solve for x
    x = 833,853,880,336/416,003
  6. Step 6: Final answer
    x = 2,004,441.99

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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.