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Finding the Third Proportional to 945,198 and 1,452,835

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Solution

The third proportional to 945,198 and 1,452,835 is: 2,233,108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,198 : 1,452,835 = 1,452,835 : x
  2. Step 2: Convert to fraction form
    945,198/1,452,835 = 1,452,835/x
  3. Step 3: Cross multiply
    945,198x = 1,452,835 × 1,452,835
  4. Step 4: Simplify right side
    945,198x = 2,110,729,537,225
  5. Step 5: Solve for x
    x = 2,110,729,537,225/945,198
  6. Step 6: Final answer
    x = 2,233,108.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.