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Finding the Third Proportional to 414,028 and 887,080

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Solution

The third proportional to 414,028 and 887,080 is: 1,900,622.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,028 : 887,080 = 887,080 : x
  2. Step 2: Convert to fraction form
    414,028/887,080 = 887,080/x
  3. Step 3: Cross multiply
    414,028x = 887,080 × 887,080
  4. Step 4: Simplify right side
    414,028x = 786,910,926,400
  5. Step 5: Solve for x
    x = 786,910,926,400/414,028
  6. Step 6: Final answer
    x = 1,900,622.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.