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Finding the Third Proportional to 654,939 and 1,425,201.75

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Solution

The third proportional to 654,939 and 1,425,201.75 is: 3,101,357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,939 : 1,425,201.75 = 1,425,201.75 : x
  2. Step 2: Convert to fraction form
    654,939/1,425,201.75 = 1,425,201.75/x
  3. Step 3: Cross multiply
    654,939x = 1,425,201.75 × 1,425,201.75
  4. Step 4: Simplify right side
    654,939x = 2,031,200,028,203.06
  5. Step 5: Solve for x
    x = 2,031,200,028,203.06/654,939
  6. Step 6: Final answer
    x = 3,101,357.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.