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Finding the Third Proportional to 1,444,324.50 and 2,019,192.75

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Solution

The third proportional to 1,444,324.50 and 2,019,192.75 is: 2,822,869.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444,324.50 : 2,019,192.75 = 2,019,192.75 : x
  2. Step 2: Convert to fraction form
    1,444,324.50/2,019,192.75 = 2,019,192.75/x
  3. Step 3: Cross multiply
    1,444,324.50x = 2,019,192.75 × 2,019,192.75
  4. Step 4: Simplify right side
    1,444,324.50x = 4,077,139,361,652.56
  5. Step 5: Solve for x
    x = 4,077,139,361,652.56/1,444,324.50
  6. Step 6: Final answer
    x = 2,822,869.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.