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Finding the Third Proportional to 4,530,978 and 6,862,274.44

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Solution

The third proportional to 4,530,978 and 6,862,274.44 is: 10,393,078.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,530,978 : 6,862,274.44 = 6,862,274.44 : x
  2. Step 2: Convert to fraction form
    4,530,978/6,862,274.44 = 6,862,274.44/x
  3. Step 3: Cross multiply
    4,530,978x = 6,862,274.44 × 6,862,274.44
  4. Step 4: Simplify right side
    4,530,978x = 47,090,810,455,565.94
  5. Step 5: Solve for x
    x = 47,090,810,455,565.94/4,530,978
  6. Step 6: Final answer
    x = 10,393,078.59

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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.