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Finding the Third Proportional to 675,906 and 944,967

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Solution

The third proportional to 675,906 and 944,967 is: 1,321,134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,906 : 944,967 = 944,967 : x
  2. Step 2: Convert to fraction form
    675,906/944,967 = 944,967/x
  3. Step 3: Cross multiply
    675,906x = 944,967 × 944,967
  4. Step 4: Simplify right side
    675,906x = 892,962,631,089
  5. Step 5: Solve for x
    x = 892,962,631,089/675,906
  6. Step 6: Final answer
    x = 1,321,134.35

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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.