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Finding the Third Proportional to 3,193,848 and 4,824,036

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Solution

The third proportional to 3,193,848 and 4,824,036 is: 7,286,296.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193,848 : 4,824,036 = 4,824,036 : x
  2. Step 2: Convert to fraction form
    3,193,848/4,824,036 = 4,824,036/x
  3. Step 3: Cross multiply
    3,193,848x = 4,824,036 × 4,824,036
  4. Step 4: Simplify right side
    3,193,848x = 23,271,323,329,296
  5. Step 5: Solve for x
    x = 23,271,323,329,296/3,193,848
  6. Step 6: Final answer
    x = 7,286,296.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.