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Finding the Third Proportional to 2,886,180 and 6,434,888

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Solution

The third proportional to 2,886,180 and 6,434,888 is: 14,346,916.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886,180 : 6,434,888 = 6,434,888 : x
  2. Step 2: Convert to fraction form
    2,886,180/6,434,888 = 6,434,888/x
  3. Step 3: Cross multiply
    2,886,180x = 6,434,888 × 6,434,888
  4. Step 4: Simplify right side
    2,886,180x = 41,407,783,572,544
  5. Step 5: Solve for x
    x = 41,407,783,572,544/2,886,180
  6. Step 6: Final answer
    x = 14,346,916.54

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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.