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Finding the Third Proportional to 2,886,176 and 6,434,880

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Solution

The third proportional to 2,886,176 and 6,434,880 is: 14,346,900.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886,176 : 6,434,880 = 6,434,880 : x
  2. Step 2: Convert to fraction form
    2,886,176/6,434,880 = 6,434,880/x
  3. Step 3: Cross multiply
    2,886,176x = 6,434,880 × 6,434,880
  4. Step 4: Simplify right side
    2,886,176x = 41,407,680,614,400
  5. Step 5: Solve for x
    x = 41,407,680,614,400/2,886,176
  6. Step 6: Final answer
    x = 14,346,900.75

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.