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Finding the Third Proportional to 969,058 and 2,122,756

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Solution

The third proportional to 969,058 and 2,122,756 is: 4,649,972.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,058 : 2,122,756 = 2,122,756 : x
  2. Step 2: Convert to fraction form
    969,058/2,122,756 = 2,122,756/x
  3. Step 3: Cross multiply
    969,058x = 2,122,756 × 2,122,756
  4. Step 4: Simplify right side
    969,058x = 4,506,093,035,536
  5. Step 5: Solve for x
    x = 4,506,093,035,536/969,058
  6. Step 6: Final answer
    x = 4,649,972.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.