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Finding the Third Proportional to 759,483 and 1,792,832

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Solution

The third proportional to 759,483 and 1,792,832 is: 4,232,150.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,483 : 1,792,832 = 1,792,832 : x
  2. Step 2: Convert to fraction form
    759,483/1,792,832 = 1,792,832/x
  3. Step 3: Cross multiply
    759,483x = 1,792,832 × 1,792,832
  4. Step 4: Simplify right side
    759,483x = 3,214,246,580,224
  5. Step 5: Solve for x
    x = 3,214,246,580,224/759,483
  6. Step 6: Final answer
    x = 4,232,150.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.