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Finding the Third Proportional to 819,262 and 1,677,890

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Solution

The third proportional to 819,262 and 1,677,890 is: 3,436,403.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,262 : 1,677,890 = 1,677,890 : x
  2. Step 2: Convert to fraction form
    819,262/1,677,890 = 1,677,890/x
  3. Step 3: Cross multiply
    819,262x = 1,677,890 × 1,677,890
  4. Step 4: Simplify right side
    819,262x = 2,815,314,852,100
  5. Step 5: Solve for x
    x = 2,815,314,852,100/819,262
  6. Step 6: Final answer
    x = 3,436,403.56

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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.