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Finding the Third Proportional to 416,994 and 898,836

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Solution

The third proportional to 416,994 and 898,836 is: 1,937,452.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,994 : 898,836 = 898,836 : x
  2. Step 2: Convert to fraction form
    416,994/898,836 = 898,836/x
  3. Step 3: Cross multiply
    416,994x = 898,836 × 898,836
  4. Step 4: Simplify right side
    416,994x = 807,906,154,896
  5. Step 5: Solve for x
    x = 807,906,154,896/416,994
  6. Step 6: Final answer
    x = 1,937,452.71

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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.