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Finding the Third Proportional to 1,700,203.50 and 3,592,289.25

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Solution

The third proportional to 1,700,203.50 and 3,592,289.25 is: 7,589,998.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700,203.50 : 3,592,289.25 = 3,592,289.25 : x
  2. Step 2: Convert to fraction form
    1,700,203.50/3,592,289.25 = 3,592,289.25/x
  3. Step 3: Cross multiply
    1,700,203.50x = 3,592,289.25 × 3,592,289.25
  4. Step 4: Simplify right side
    1,700,203.50x = 12,904,542,055,665.56
  5. Step 5: Solve for x
    x = 12,904,542,055,665.56/1,700,203.50
  6. Step 6: Final answer
    x = 7,589,998.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.