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Finding the Third Proportional to 909,834.19 and 1,947,474.56

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Solution

The third proportional to 909,834.19 and 1,947,474.56 is: 4,168,514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,834.19 : 1,947,474.56 = 1,947,474.56 : x
  2. Step 2: Convert to fraction form
    909,834.19/1,947,474.56 = 1,947,474.56/x
  3. Step 3: Cross multiply
    909,834.19x = 1,947,474.56 × 1,947,474.56
  4. Step 4: Simplify right side
    909,834.19x = 3,792,657,171,584.57
  5. Step 5: Solve for x
    x = 3,792,657,171,584.57/909,834.19
  6. Step 6: Final answer
    x = 4,168,514.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.