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Finding the Third Proportional to 2,106,081 and 4,107,186

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Solution

The third proportional to 2,106,081 and 4,107,186 is: 8,009,652.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,081 : 4,107,186 = 4,107,186 : x
  2. Step 2: Convert to fraction form
    2,106,081/4,107,186 = 4,107,186/x
  3. Step 3: Cross multiply
    2,106,081x = 4,107,186 × 4,107,186
  4. Step 4: Simplify right side
    2,106,081x = 16,868,976,838,596
  5. Step 5: Solve for x
    x = 16,868,976,838,596/2,106,081
  6. Step 6: Final answer
    x = 8,009,652.45

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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.