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Finding the Third Proportional to 665,802 and 942,094

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Solution

The third proportional to 665,802 and 942,094 is: 1,333,040.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,802 : 942,094 = 942,094 : x
  2. Step 2: Convert to fraction form
    665,802/942,094 = 942,094/x
  3. Step 3: Cross multiply
    665,802x = 942,094 × 942,094
  4. Step 4: Simplify right side
    665,802x = 887,541,104,836
  5. Step 5: Solve for x
    x = 887,541,104,836/665,802
  6. Step 6: Final answer
    x = 1,333,040.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.