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Finding the Third Proportional to 456,455 and 985,080

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Solution

The third proportional to 456,455 and 985,080 is: 2,125,910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,455 : 985,080 = 985,080 : x
  2. Step 2: Convert to fraction form
    456,455/985,080 = 985,080/x
  3. Step 3: Cross multiply
    456,455x = 985,080 × 985,080
  4. Step 4: Simplify right side
    456,455x = 970,382,606,400
  5. Step 5: Solve for x
    x = 970,382,606,400/456,455
  6. Step 6: Final answer
    x = 2,125,910.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.