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Finding the Third Proportional to 1,919,867.06 and 4,147,201.27

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Solution

The third proportional to 1,919,867.06 and 4,147,201.27 is: 8,958,577.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919,867.06 : 4,147,201.27 = 4,147,201.27 : x
  2. Step 2: Convert to fraction form
    1,919,867.06/4,147,201.27 = 4,147,201.27/x
  3. Step 3: Cross multiply
    1,919,867.06x = 4,147,201.27 × 4,147,201.27
  4. Step 4: Simplify right side
    1,919,867.06x = 17,199,278,337,601.60
  5. Step 5: Solve for x
    x = 17,199,278,337,601.60/1,919,867.06
  6. Step 6: Final answer
    x = 8,958,577.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.