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Finding the Third Proportional to 728,971.50 and 1,026,105

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Solution

The third proportional to 728,971.50 and 1,026,105 is: 1,444,352.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,971.50 : 1,026,105 = 1,026,105 : x
  2. Step 2: Convert to fraction form
    728,971.50/1,026,105 = 1,026,105/x
  3. Step 3: Cross multiply
    728,971.50x = 1,026,105 × 1,026,105
  4. Step 4: Simplify right side
    728,971.50x = 1,052,891,471,025
  5. Step 5: Solve for x
    x = 1,052,891,471,025/728,971.50
  6. Step 6: Final answer
    x = 1,444,352.04

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.