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Finding the Third Proportional to 3,426,138 and 4,820,481

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Solution

The third proportional to 3,426,138 and 4,820,481 is: 6,782,282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426,138 : 4,820,481 = 4,820,481 : x
  2. Step 2: Convert to fraction form
    3,426,138/4,820,481 = 4,820,481/x
  3. Step 3: Cross multiply
    3,426,138x = 4,820,481 × 4,820,481
  4. Step 4: Simplify right side
    3,426,138x = 23,237,037,071,361
  5. Step 5: Solve for x
    x = 23,237,037,071,361/3,426,138
  6. Step 6: Final answer
    x = 6,782,282.87

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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.