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Finding the Third Proportional to 1,871,106 and 2,846,025

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Solution

The third proportional to 1,871,106 and 2,846,025 is: 4,328,914.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871,106 : 2,846,025 = 2,846,025 : x
  2. Step 2: Convert to fraction form
    1,871,106/2,846,025 = 2,846,025/x
  3. Step 3: Cross multiply
    1,871,106x = 2,846,025 × 2,846,025
  4. Step 4: Simplify right side
    1,871,106x = 8,099,858,300,625
  5. Step 5: Solve for x
    x = 8,099,858,300,625/1,871,106
  6. Step 6: Final answer
    x = 4,328,914.72

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.