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Finding the Third Proportional to 721,792 and 1,025,856

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Solution

The third proportional to 721,792 and 1,025,856 is: 1,458,010.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,792 : 1,025,856 = 1,025,856 : x
  2. Step 2: Convert to fraction form
    721,792/1,025,856 = 1,025,856/x
  3. Step 3: Cross multiply
    721,792x = 1,025,856 × 1,025,856
  4. Step 4: Simplify right side
    721,792x = 1,052,380,532,736
  5. Step 5: Solve for x
    x = 1,052,380,532,736/721,792
  6. Step 6: Final answer
    x = 1,458,010.80

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.