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Finding the Third Proportional to 2,789,403.75 and 4,226,208.75

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Solution

The third proportional to 2,789,403.75 and 4,226,208.75 is: 6,403,103.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789,403.75 : 4,226,208.75 = 4,226,208.75 : x
  2. Step 2: Convert to fraction form
    2,789,403.75/4,226,208.75 = 4,226,208.75/x
  3. Step 3: Cross multiply
    2,789,403.75x = 4,226,208.75 × 4,226,208.75
  4. Step 4: Simplify right side
    2,789,403.75x = 17,860,840,398,576.56
  5. Step 5: Solve for x
    x = 17,860,840,398,576.56/2,789,403.75
  6. Step 6: Final answer
    x = 6,403,103.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.