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Finding the Third Proportional to 622,146 and 1,332,414

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Solution

The third proportional to 622,146 and 1,332,414 is: 2,853,553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,146 : 1,332,414 = 1,332,414 : x
  2. Step 2: Convert to fraction form
    622,146/1,332,414 = 1,332,414/x
  3. Step 3: Cross multiply
    622,146x = 1,332,414 × 1,332,414
  4. Step 4: Simplify right side
    622,146x = 1,775,327,067,396
  5. Step 5: Solve for x
    x = 1,775,327,067,396/622,146
  6. Step 6: Final answer
    x = 2,853,553.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.