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Finding the Third Proportional to 969,996 and 2,116,200

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Solution

The third proportional to 969,996 and 2,116,200 is: 4,616,825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,996 : 2,116,200 = 2,116,200 : x
  2. Step 2: Convert to fraction form
    969,996/2,116,200 = 2,116,200/x
  3. Step 3: Cross multiply
    969,996x = 2,116,200 × 2,116,200
  4. Step 4: Simplify right side
    969,996x = 4,478,302,440,000
  5. Step 5: Solve for x
    x = 4,478,302,440,000/969,996
  6. Step 6: Final answer
    x = 4,616,825.68

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