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Finding the Third Proportional to 677,194.59 and 1,410,438.66

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Solution

The third proportional to 677,194.59 and 1,410,438.66 is: 2,937,615.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,194.59 : 1,410,438.66 = 1,410,438.66 : x
  2. Step 2: Convert to fraction form
    677,194.59/1,410,438.66 = 1,410,438.66/x
  3. Step 3: Cross multiply
    677,194.59x = 1,410,438.66 × 1,410,438.66
  4. Step 4: Simplify right side
    677,194.59x = 1,989,337,203,044.31
  5. Step 5: Solve for x
    x = 1,989,337,203,044.31/677,194.59
  6. Step 6: Final answer
    x = 2,937,615.30

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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.