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Finding the Third Proportional to 2,037,978 and 4,164,444

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Solution

The third proportional to 2,037,978 and 4,164,444 is: 8,509,706.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037,978 : 4,164,444 = 4,164,444 : x
  2. Step 2: Convert to fraction form
    2,037,978/4,164,444 = 4,164,444/x
  3. Step 3: Cross multiply
    2,037,978x = 4,164,444 × 4,164,444
  4. Step 4: Simplify right side
    2,037,978x = 17,342,593,829,136
  5. Step 5: Solve for x
    x = 17,342,593,829,136/2,037,978
  6. Step 6: Final answer
    x = 8,509,706.11

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.