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Finding the Third Proportional to 1,143,616 and 1,682,160

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Solution

The third proportional to 1,143,616 and 1,682,160 is: 2,474,311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,616 : 1,682,160 = 1,682,160 : x
  2. Step 2: Convert to fraction form
    1,143,616/1,682,160 = 1,682,160/x
  3. Step 3: Cross multiply
    1,143,616x = 1,682,160 × 1,682,160
  4. Step 4: Simplify right side
    1,143,616x = 2,829,662,265,600
  5. Step 5: Solve for x
    x = 2,829,662,265,600/1,143,616
  6. Step 6: Final answer
    x = 2,474,311.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.