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Finding the Third Proportional to 1,614,661.75 and 3,461,148.75

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Solution

The third proportional to 1,614,661.75 and 3,461,148.75 is: 7,419,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614,661.75 : 3,461,148.75 = 3,461,148.75 : x
  2. Step 2: Convert to fraction form
    1,614,661.75/3,461,148.75 = 3,461,148.75/x
  3. Step 3: Cross multiply
    1,614,661.75x = 3,461,148.75 × 3,461,148.75
  4. Step 4: Simplify right side
    1,614,661.75x = 11,979,550,669,626.56
  5. Step 5: Solve for x
    x = 11,979,550,669,626.56/1,614,661.75
  6. Step 6: Final answer
    x = 7,419,232.34

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.