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Finding the Third Proportional to 552,001 and 809,827

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Solution

The third proportional to 552,001 and 809,827 is: 1,188,077.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,001 : 809,827 = 809,827 : x
  2. Step 2: Convert to fraction form
    552,001/809,827 = 809,827/x
  3. Step 3: Cross multiply
    552,001x = 809,827 × 809,827
  4. Step 4: Simplify right side
    552,001x = 655,819,769,929
  5. Step 5: Solve for x
    x = 655,819,769,929/552,001
  6. Step 6: Final answer
    x = 1,188,077.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.