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Finding the Third Proportional to 2,106,138 and 4,107,300

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Solution

The third proportional to 2,106,138 and 4,107,300 is: 8,009,880.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,138 : 4,107,300 = 4,107,300 : x
  2. Step 2: Convert to fraction form
    2,106,138/4,107,300 = 4,107,300/x
  3. Step 3: Cross multiply
    2,106,138x = 4,107,300 × 4,107,300
  4. Step 4: Simplify right side
    2,106,138x = 16,869,913,290,000
  5. Step 5: Solve for x
    x = 16,869,913,290,000/2,106,138
  6. Step 6: Final answer
    x = 8,009,880.31

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.