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Finding the Third Proportional to 4,886,780 and 6,426,208

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Solution

The third proportional to 4,886,780 and 6,426,208 is: 8,450,584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886,780 : 6,426,208 = 6,426,208 : x
  2. Step 2: Convert to fraction form
    4,886,780/6,426,208 = 6,426,208/x
  3. Step 3: Cross multiply
    4,886,780x = 6,426,208 × 6,426,208
  4. Step 4: Simplify right side
    4,886,780x = 41,296,149,259,264
  5. Step 5: Solve for x
    x = 41,296,149,259,264/4,886,780
  6. Step 6: Final answer
    x = 8,450,584.90

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.