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Finding the Third Proportional to 622,967 and 1,361,233

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Solution

The third proportional to 622,967 and 1,361,233 is: 2,974,403.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,967 : 1,361,233 = 1,361,233 : x
  2. Step 2: Convert to fraction form
    622,967/1,361,233 = 1,361,233/x
  3. Step 3: Cross multiply
    622,967x = 1,361,233 × 1,361,233
  4. Step 4: Simplify right side
    622,967x = 1,852,955,280,289
  5. Step 5: Solve for x
    x = 1,852,955,280,289/622,967
  6. Step 6: Final answer
    x = 2,974,403.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.