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Finding the Third Proportional to 550,954 and 1,157,680

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Solution

The third proportional to 550,954 and 1,157,680 is: 2,432,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,954 : 1,157,680 = 1,157,680 : x
  2. Step 2: Convert to fraction form
    550,954/1,157,680 = 1,157,680/x
  3. Step 3: Cross multiply
    550,954x = 1,157,680 × 1,157,680
  4. Step 4: Simplify right side
    550,954x = 1,340,222,982,400
  5. Step 5: Solve for x
    x = 1,340,222,982,400/550,954
  6. Step 6: Final answer
    x = 2,432,549.69

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.