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Finding the Third Proportional to 969,880 and 2,105,644

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Solution

The third proportional to 969,880 and 2,105,644 is: 4,571,428.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,880 : 2,105,644 = 2,105,644 : x
  2. Step 2: Convert to fraction form
    969,880/2,105,644 = 2,105,644/x
  3. Step 3: Cross multiply
    969,880x = 2,105,644 × 2,105,644
  4. Step 4: Simplify right side
    969,880x = 4,433,736,654,736
  5. Step 5: Solve for x
    x = 4,433,736,654,736/969,880
  6. Step 6: Final answer
    x = 4,571,428.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.