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Finding the Third Proportional to 689,944 and 950,068

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Solution

The third proportional to 689,944 and 950,068 is: 1,308,264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,944 : 950,068 = 950,068 : x
  2. Step 2: Convert to fraction form
    689,944/950,068 = 950,068/x
  3. Step 3: Cross multiply
    689,944x = 950,068 × 950,068
  4. Step 4: Simplify right side
    689,944x = 902,629,204,624
  5. Step 5: Solve for x
    x = 902,629,204,624/689,944
  6. Step 6: Final answer
    x = 1,308,264.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.