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Finding the Third Proportional to 1,106,083 and 1,682,215

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Solution

The third proportional to 1,106,083 and 1,682,215 is: 2,558,440.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,083 : 1,682,215 = 1,682,215 : x
  2. Step 2: Convert to fraction form
    1,106,083/1,682,215 = 1,682,215/x
  3. Step 3: Cross multiply
    1,106,083x = 1,682,215 × 1,682,215
  4. Step 4: Simplify right side
    1,106,083x = 2,829,847,306,225
  5. Step 5: Solve for x
    x = 2,829,847,306,225/1,106,083
  6. Step 6: Final answer
    x = 2,558,440.29

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Why These Related Problems?

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