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Finding the Third Proportional to 665,795 and 942,080

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Solution

The third proportional to 665,795 and 942,080 is: 1,333,015.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,795 : 942,080 = 942,080 : x
  2. Step 2: Convert to fraction form
    665,795/942,080 = 942,080/x
  3. Step 3: Cross multiply
    665,795x = 942,080 × 942,080
  4. Step 4: Simplify right side
    665,795x = 887,514,726,400
  5. Step 5: Solve for x
    x = 887,514,726,400/665,795
  6. Step 6: Final answer
    x = 1,333,015.01

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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.