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Finding the Third Proportional to 898,848 and 1,922,112

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Solution

The third proportional to 898,848 and 1,922,112 is: 4,110,277.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,848 : 1,922,112 = 1,922,112 : x
  2. Step 2: Convert to fraction form
    898,848/1,922,112 = 1,922,112/x
  3. Step 3: Cross multiply
    898,848x = 1,922,112 × 1,922,112
  4. Step 4: Simplify right side
    898,848x = 3,694,514,540,544
  5. Step 5: Solve for x
    x = 3,694,514,540,544/898,848
  6. Step 6: Final answer
    x = 4,110,277.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.