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Finding the Third Proportional to 552,670 and 810,874

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Solution

The third proportional to 552,670 and 810,874 is: 1,189,709.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,670 : 810,874 = 810,874 : x
  2. Step 2: Convert to fraction form
    552,670/810,874 = 810,874/x
  3. Step 3: Cross multiply
    552,670x = 810,874 × 810,874
  4. Step 4: Simplify right side
    552,670x = 657,516,643,876
  5. Step 5: Solve for x
    x = 657,516,643,876/552,670
  6. Step 6: Final answer
    x = 1,189,709.31

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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.