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Finding the Third Proportional to 819,266 and 1,677,898

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Solution

The third proportional to 819,266 and 1,677,898 is: 3,436,419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,266 : 1,677,898 = 1,677,898 : x
  2. Step 2: Convert to fraction form
    819,266/1,677,898 = 1,677,898/x
  3. Step 3: Cross multiply
    819,266x = 1,677,898 × 1,677,898
  4. Step 4: Simplify right side
    819,266x = 2,815,341,698,404
  5. Step 5: Solve for x
    x = 2,815,341,698,404/819,266
  6. Step 6: Final answer
    x = 3,436,419.55

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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.