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Finding the Third Proportional to 1,577,945 and 3,451,134.75

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Solution

The third proportional to 1,577,945 and 3,451,134.75 is: 7,548,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,945 : 3,451,134.75 = 3,451,134.75 : x
  2. Step 2: Convert to fraction form
    1,577,945/3,451,134.75 = 3,451,134.75/x
  3. Step 3: Cross multiply
    1,577,945x = 3,451,134.75 × 3,451,134.75
  4. Step 4: Simplify right side
    1,577,945x = 11,910,331,062,657.56
  5. Step 5: Solve for x
    x = 11,910,331,062,657.56/1,577,945
  6. Step 6: Final answer
    x = 7,548,001.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.