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Finding the Third Proportional to 898,716 and 1,954,896

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Solution

The third proportional to 898,716 and 1,954,896 is: 4,252,309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,716 : 1,954,896 = 1,954,896 : x
  2. Step 2: Convert to fraction form
    898,716/1,954,896 = 1,954,896/x
  3. Step 3: Cross multiply
    898,716x = 1,954,896 × 1,954,896
  4. Step 4: Simplify right side
    898,716x = 3,821,618,370,816
  5. Step 5: Solve for x
    x = 3,821,618,370,816/898,716
  6. Step 6: Final answer
    x = 4,252,309.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.