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Finding the Third Proportional to 898,850 and 1,922,116

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Solution

The third proportional to 898,850 and 1,922,116 is: 4,110,285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,850 : 1,922,116 = 1,922,116 : x
  2. Step 2: Convert to fraction form
    898,850/1,922,116 = 1,922,116/x
  3. Step 3: Cross multiply
    898,850x = 1,922,116 × 1,922,116
  4. Step 4: Simplify right side
    898,850x = 3,694,529,917,456
  5. Step 5: Solve for x
    x = 3,694,529,917,456/898,850
  6. Step 6: Final answer
    x = 4,110,285.27

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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.