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Finding the Third Proportional to 483,141 and 1,028,652

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Solution

The third proportional to 483,141 and 1,028,652 is: 2,190,095.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,141 : 1,028,652 = 1,028,652 : x
  2. Step 2: Convert to fraction form
    483,141/1,028,652 = 1,028,652/x
  3. Step 3: Cross multiply
    483,141x = 1,028,652 × 1,028,652
  4. Step 4: Simplify right side
    483,141x = 1,058,124,937,104
  5. Step 5: Solve for x
    x = 1,058,124,937,104/483,141
  6. Step 6: Final answer
    x = 2,190,095.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.