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Finding the Third Proportional to 416,041 and 898,376

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Solution

The third proportional to 416,041 and 898,376 is: 1,939,903.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,041 : 898,376 = 898,376 : x
  2. Step 2: Convert to fraction form
    416,041/898,376 = 898,376/x
  3. Step 3: Cross multiply
    416,041x = 898,376 × 898,376
  4. Step 4: Simplify right side
    416,041x = 807,079,437,376
  5. Step 5: Solve for x
    x = 807,079,437,376/416,041
  6. Step 6: Final answer
    x = 1,939,903.61

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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.