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Finding the Third Proportional to 652,447 and 1,433,198

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Solution

The third proportional to 652,447 and 1,433,198 is: 3,148,235.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,447 : 1,433,198 = 1,433,198 : x
  2. Step 2: Convert to fraction form
    652,447/1,433,198 = 1,433,198/x
  3. Step 3: Cross multiply
    652,447x = 1,433,198 × 1,433,198
  4. Step 4: Simplify right side
    652,447x = 2,054,056,507,204
  5. Step 5: Solve for x
    x = 2,054,056,507,204/652,447
  6. Step 6: Final answer
    x = 3,148,235.04

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.