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Finding the Third Proportional to 819,265 and 1,677,896

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Solution

The third proportional to 819,265 and 1,677,896 is: 3,436,415.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,265 : 1,677,896 = 1,677,896 : x
  2. Step 2: Convert to fraction form
    819,265/1,677,896 = 1,677,896/x
  3. Step 3: Cross multiply
    819,265x = 1,677,896 × 1,677,896
  4. Step 4: Simplify right side
    819,265x = 2,815,334,986,816
  5. Step 5: Solve for x
    x = 2,815,334,986,816/819,265
  6. Step 6: Final answer
    x = 3,436,415.55

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.