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Finding the Third Proportional to 682,800 and 1,033,632

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Solution

The third proportional to 682,800 and 1,033,632 is: 1,564,726.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,800 : 1,033,632 = 1,033,632 : x
  2. Step 2: Convert to fraction form
    682,800/1,033,632 = 1,033,632/x
  3. Step 3: Cross multiply
    682,800x = 1,033,632 × 1,033,632
  4. Step 4: Simplify right side
    682,800x = 1,068,395,111,424
  5. Step 5: Solve for x
    x = 1,068,395,111,424/682,800
  6. Step 6: Final answer
    x = 1,564,726.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.