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Finding the Third Proportional to 1,606,538 and 3,477,564

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Solution

The third proportional to 1,606,538 and 3,477,564 is: 7,527,647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606,538 : 3,477,564 = 3,477,564 : x
  2. Step 2: Convert to fraction form
    1,606,538/3,477,564 = 3,477,564/x
  3. Step 3: Cross multiply
    1,606,538x = 3,477,564 × 3,477,564
  4. Step 4: Simplify right side
    1,606,538x = 12,093,451,374,096
  5. Step 5: Solve for x
    x = 12,093,451,374,096/1,606,538
  6. Step 6: Final answer
    x = 7,527,647.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.