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Finding the Third Proportional to 3,426,219 and 4,820,601

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Solution

The third proportional to 3,426,219 and 4,820,601 is: 6,782,460.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426,219 : 4,820,601 = 4,820,601 : x
  2. Step 2: Convert to fraction form
    3,426,219/4,820,601 = 4,820,601/x
  3. Step 3: Cross multiply
    3,426,219x = 4,820,601 × 4,820,601
  4. Step 4: Simplify right side
    3,426,219x = 23,238,194,001,201
  5. Step 5: Solve for x
    x = 23,238,194,001,201/3,426,219
  6. Step 6: Final answer
    x = 6,782,460.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.