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Finding the Third Proportional to 553,947 and 1,192,638

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Solution

The third proportional to 553,947 and 1,192,638 is: 2,567,728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,947 : 1,192,638 = 1,192,638 : x
  2. Step 2: Convert to fraction form
    553,947/1,192,638 = 1,192,638/x
  3. Step 3: Cross multiply
    553,947x = 1,192,638 × 1,192,638
  4. Step 4: Simplify right side
    553,947x = 1,422,385,399,044
  5. Step 5: Solve for x
    x = 1,422,385,399,044/553,947
  6. Step 6: Final answer
    x = 2,567,728.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.