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Finding the Third Proportional to 1,230,474.75 and 1,925,856

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Solution

The third proportional to 1,230,474.75 and 1,925,856 is: 3,014,219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230,474.75 : 1,925,856 = 1,925,856 : x
  2. Step 2: Convert to fraction form
    1,230,474.75/1,925,856 = 1,925,856/x
  3. Step 3: Cross multiply
    1,230,474.75x = 1,925,856 × 1,925,856
  4. Step 4: Simplify right side
    1,230,474.75x = 3,708,921,332,736
  5. Step 5: Solve for x
    x = 3,708,921,332,736/1,230,474.75
  6. Step 6: Final answer
    x = 3,014,219.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.