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Finding the Third Proportional to 677,190.80 and 1,410,431.91

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Solution

The third proportional to 677,190.80 and 1,410,431.91 is: 2,937,603.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,190.80 : 1,410,431.91 = 1,410,431.91 : x
  2. Step 2: Convert to fraction form
    677,190.80/1,410,431.91 = 1,410,431.91/x
  3. Step 3: Cross multiply
    677,190.80x = 1,410,431.91 × 1,410,431.91
  4. Step 4: Simplify right side
    677,190.80x = 1,989,318,162,168.01
  5. Step 5: Solve for x
    x = 1,989,318,162,168.01/677,190.80
  6. Step 6: Final answer
    x = 2,937,603.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.