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Finding the Third Proportional to 948,204 and 1,440,736

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Solution

The third proportional to 948,204 and 1,440,736 is: 2,189,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,204 : 1,440,736 = 1,440,736 : x
  2. Step 2: Convert to fraction form
    948,204/1,440,736 = 1,440,736/x
  3. Step 3: Cross multiply
    948,204x = 1,440,736 × 1,440,736
  4. Step 4: Simplify right side
    948,204x = 2,075,720,221,696
  5. Step 5: Solve for x
    x = 2,075,720,221,696/948,204
  6. Step 6: Final answer
    x = 2,189,107.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.