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Finding the Third Proportional to 483,144 and 1,028,658

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Solution

The third proportional to 483,144 and 1,028,658 is: 2,190,107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,144 : 1,028,658 = 1,028,658 : x
  2. Step 2: Convert to fraction form
    483,144/1,028,658 = 1,028,658/x
  3. Step 3: Cross multiply
    483,144x = 1,028,658 × 1,028,658
  4. Step 4: Simplify right side
    483,144x = 1,058,137,280,964
  5. Step 5: Solve for x
    x = 1,058,137,280,964/483,144
  6. Step 6: Final answer
    x = 2,190,107.46

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