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Finding the Third Proportional to 969,980 and 2,113,676

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Solution

The third proportional to 969,980 and 2,113,676 is: 4,605,895.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,980 : 2,113,676 = 2,113,676 : x
  2. Step 2: Convert to fraction form
    969,980/2,113,676 = 2,113,676/x
  3. Step 3: Cross multiply
    969,980x = 2,113,676 × 2,113,676
  4. Step 4: Simplify right side
    969,980x = 4,467,626,232,976
  5. Step 5: Solve for x
    x = 4,467,626,232,976/969,980
  6. Step 6: Final answer
    x = 4,605,895.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.