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Finding the Third Proportional to 677,194 and 1,410,438

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Solution

The third proportional to 677,194 and 1,410,438 is: 2,937,615.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,194 : 1,410,438 = 1,410,438 : x
  2. Step 2: Convert to fraction form
    677,194/1,410,438 = 1,410,438/x
  3. Step 3: Cross multiply
    677,194x = 1,410,438 × 1,410,438
  4. Step 4: Simplify right side
    677,194x = 1,989,335,351,844
  5. Step 5: Solve for x
    x = 1,989,335,351,844/677,194
  6. Step 6: Final answer
    x = 2,937,615.15

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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.