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Finding the Third Proportional to 675,861 and 944,896.50

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Solution

The third proportional to 675,861 and 944,896.50 is: 1,321,025.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,861 : 944,896.50 = 944,896.50 : x
  2. Step 2: Convert to fraction form
    675,861/944,896.50 = 944,896.50/x
  3. Step 3: Cross multiply
    675,861x = 944,896.50 × 944,896.50
  4. Step 4: Simplify right side
    675,861x = 892,829,395,712.25
  5. Step 5: Solve for x
    x = 892,829,395,712.25/675,861
  6. Step 6: Final answer
    x = 1,321,025.17

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.