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Finding the Third Proportional to 630,676.13 and 1,419,226.31

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Solution

The third proportional to 630,676.13 and 1,419,226.31 is: 3,193,720.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,676.13 : 1,419,226.31 = 1,419,226.31 : x
  2. Step 2: Convert to fraction form
    630,676.13/1,419,226.31 = 1,419,226.31/x
  3. Step 3: Cross multiply
    630,676.13x = 1,419,226.31 × 1,419,226.31
  4. Step 4: Simplify right side
    630,676.13x = 2,014,203,326,092.35
  5. Step 5: Solve for x
    x = 2,014,203,326,092.35/630,676.13
  6. Step 6: Final answer
    x = 3,193,720.59

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.