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Finding the Third Proportional to 918,144 and 1,969,104

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Solution

The third proportional to 918,144 and 1,969,104 is: 4,223,052.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,144 : 1,969,104 = 1,969,104 : x
  2. Step 2: Convert to fraction form
    918,144/1,969,104 = 1,969,104/x
  3. Step 3: Cross multiply
    918,144x = 1,969,104 × 1,969,104
  4. Step 4: Simplify right side
    918,144x = 3,877,370,562,816
  5. Step 5: Solve for x
    x = 3,877,370,562,816/918,144
  6. Step 6: Final answer
    x = 4,223,052.77

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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.