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Finding the Third Proportional to 3,876,603.75 and 5,702,949

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Solution

The third proportional to 3,876,603.75 and 5,702,949 is: 8,389,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876,603.75 : 5,702,949 = 5,702,949 : x
  2. Step 2: Convert to fraction form
    3,876,603.75/5,702,949 = 5,702,949/x
  3. Step 3: Cross multiply
    3,876,603.75x = 5,702,949 × 5,702,949
  4. Step 4: Simplify right side
    3,876,603.75x = 32,523,627,296,601
  5. Step 5: Solve for x
    x = 32,523,627,296,601/3,876,603.75
  6. Step 6: Final answer
    x = 8,389,721.88

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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.