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Finding the Third Proportional to 689,964 and 950,094

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Solution

The third proportional to 689,964 and 950,094 is: 1,308,298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,964 : 950,094 = 950,094 : x
  2. Step 2: Convert to fraction form
    689,964/950,094 = 950,094/x
  3. Step 3: Cross multiply
    689,964x = 950,094 × 950,094
  4. Step 4: Simplify right side
    689,964x = 902,678,608,836
  5. Step 5: Solve for x
    x = 902,678,608,836/689,964
  6. Step 6: Final answer
    x = 1,308,298.13

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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.