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Finding the Third Proportional to 621,824 and 1,338,792

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Solution

The third proportional to 621,824 and 1,338,792 is: 2,882,429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,824 : 1,338,792 = 1,338,792 : x
  2. Step 2: Convert to fraction form
    621,824/1,338,792 = 1,338,792/x
  3. Step 3: Cross multiply
    621,824x = 1,338,792 × 1,338,792
  4. Step 4: Simplify right side
    621,824x = 1,792,364,019,264
  5. Step 5: Solve for x
    x = 1,792,364,019,264/621,824
  6. Step 6: Final answer
    x = 2,882,429.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.