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Finding the Third Proportional to 1,141,744 and 1,777,968

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Solution

The third proportional to 1,141,744 and 1,777,968 is: 2,768,720.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141,744 : 1,777,968 = 1,777,968 : x
  2. Step 2: Convert to fraction form
    1,141,744/1,777,968 = 1,777,968/x
  3. Step 3: Cross multiply
    1,141,744x = 1,777,968 × 1,777,968
  4. Step 4: Simplify right side
    1,141,744x = 3,161,170,209,024
  5. Step 5: Solve for x
    x = 3,161,170,209,024/1,141,744
  6. Step 6: Final answer
    x = 2,768,720.67

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.