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Finding the Third Proportional to 909,006.75 and 1,912,236.75

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Solution

The third proportional to 909,006.75 and 1,912,236.75 is: 4,022,686.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,006.75 : 1,912,236.75 = 1,912,236.75 : x
  2. Step 2: Convert to fraction form
    909,006.75/1,912,236.75 = 1,912,236.75/x
  3. Step 3: Cross multiply
    909,006.75x = 1,912,236.75 × 1,912,236.75
  4. Step 4: Simplify right side
    909,006.75x = 3,656,649,388,050.56
  5. Step 5: Solve for x
    x = 3,656,649,388,050.56/909,006.75
  6. Step 6: Final answer
    x = 4,022,686.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.