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Finding the Third Proportional to 905,069.25 and 1,341,947.25

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Solution

The third proportional to 905,069.25 and 1,341,947.25 is: 1,989,706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,069.25 : 1,341,947.25 = 1,341,947.25 : x
  2. Step 2: Convert to fraction form
    905,069.25/1,341,947.25 = 1,341,947.25/x
  3. Step 3: Cross multiply
    905,069.25x = 1,341,947.25 × 1,341,947.25
  4. Step 4: Simplify right side
    905,069.25x = 1,800,822,421,782.56
  5. Step 5: Solve for x
    x = 1,800,822,421,782.56/905,069.25
  6. Step 6: Final answer
    x = 1,989,706.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.