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Finding the Third Proportional to 1,619,376.75 and 2,420,145

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Solution

The third proportional to 1,619,376.75 and 2,420,145 is: 3,616,886.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619,376.75 : 2,420,145 = 2,420,145 : x
  2. Step 2: Convert to fraction form
    1,619,376.75/2,420,145 = 2,420,145/x
  3. Step 3: Cross multiply
    1,619,376.75x = 2,420,145 × 2,420,145
  4. Step 4: Simplify right side
    1,619,376.75x = 5,857,101,821,025
  5. Step 5: Solve for x
    x = 5,857,101,821,025/1,619,376.75
  6. Step 6: Final answer
    x = 3,616,886.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.