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Finding the Third Proportional to 922,176 and 1,889,869

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Solution

The third proportional to 922,176 and 1,889,869 is: 3,873,018.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,176 : 1,889,869 = 1,889,869 : x
  2. Step 2: Convert to fraction form
    922,176/1,889,869 = 1,889,869/x
  3. Step 3: Cross multiply
    922,176x = 1,889,869 × 1,889,869
  4. Step 4: Simplify right side
    922,176x = 3,571,604,837,161
  5. Step 5: Solve for x
    x = 3,571,604,837,161/922,176
  6. Step 6: Final answer
    x = 3,873,018.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.