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Finding the Third Proportional to 678,105 and 929,819.25

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Solution

The third proportional to 678,105 and 929,819.25 is: 1,274,970.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,105 : 929,819.25 = 929,819.25 : x
  2. Step 2: Convert to fraction form
    678,105/929,819.25 = 929,819.25/x
  3. Step 3: Cross multiply
    678,105x = 929,819.25 × 929,819.25
  4. Step 4: Simplify right side
    678,105x = 864,563,837,670.56
  5. Step 5: Solve for x
    x = 864,563,837,670.56/678,105
  6. Step 6: Final answer
    x = 1,274,970.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.