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Finding the Third Proportional to 889,098 and 1,946,838

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Solution

The third proportional to 889,098 and 1,946,838 is: 4,262,947.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,098 : 1,946,838 = 1,946,838 : x
  2. Step 2: Convert to fraction form
    889,098/1,946,838 = 1,946,838/x
  3. Step 3: Cross multiply
    889,098x = 1,946,838 × 1,946,838
  4. Step 4: Simplify right side
    889,098x = 3,790,178,198,244
  5. Step 5: Solve for x
    x = 3,790,178,198,244/889,098
  6. Step 6: Final answer
    x = 4,262,947.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.