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Finding the Third Proportional to 416,004 and 913,158

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Solution

The third proportional to 416,004 and 913,158 is: 2,004,445.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,004 : 913,158 = 913,158 : x
  2. Step 2: Convert to fraction form
    416,004/913,158 = 913,158/x
  3. Step 3: Cross multiply
    416,004x = 913,158 × 913,158
  4. Step 4: Simplify right side
    416,004x = 833,857,532,964
  5. Step 5: Solve for x
    x = 833,857,532,964/416,004
  6. Step 6: Final answer
    x = 2,004,445.95

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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.