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Finding the Third Proportional to 2,106,102 and 4,107,228

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Solution

The third proportional to 2,106,102 and 4,107,228 is: 8,009,736.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,102 : 4,107,228 = 4,107,228 : x
  2. Step 2: Convert to fraction form
    2,106,102/4,107,228 = 4,107,228/x
  3. Step 3: Cross multiply
    2,106,102x = 4,107,228 × 4,107,228
  4. Step 4: Simplify right side
    2,106,102x = 16,869,321,843,984
  5. Step 5: Solve for x
    x = 16,869,321,843,984/2,106,102
  6. Step 6: Final answer
    x = 8,009,736.40

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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.