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Finding the Third Proportional to 622,358 and 1,267,544

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Solution

The third proportional to 622,358 and 1,267,544 is: 2,581,581.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,358 : 1,267,544 = 1,267,544 : x
  2. Step 2: Convert to fraction form
    622,358/1,267,544 = 1,267,544/x
  3. Step 3: Cross multiply
    622,358x = 1,267,544 × 1,267,544
  4. Step 4: Simplify right side
    622,358x = 1,606,667,791,936
  5. Step 5: Solve for x
    x = 1,606,667,791,936/622,358
  6. Step 6: Final answer
    x = 2,581,581.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.