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Finding the Third Proportional to 516,736 and 1,112,640

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Solution

The third proportional to 516,736 and 1,112,640 is: 2,395,745.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,736 : 1,112,640 = 1,112,640 : x
  2. Step 2: Convert to fraction form
    516,736/1,112,640 = 1,112,640/x
  3. Step 3: Cross multiply
    516,736x = 1,112,640 × 1,112,640
  4. Step 4: Simplify right side
    516,736x = 1,237,967,769,600
  5. Step 5: Solve for x
    x = 1,237,967,769,600/516,736
  6. Step 6: Final answer
    x = 2,395,745.16

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.