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Finding the Third Proportional to 632,157 and 1,376,571

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Solution

The third proportional to 632,157 and 1,376,571 is: 2,997,590.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,157 : 1,376,571 = 1,376,571 : x
  2. Step 2: Convert to fraction form
    632,157/1,376,571 = 1,376,571/x
  3. Step 3: Cross multiply
    632,157x = 1,376,571 × 1,376,571
  4. Step 4: Simplify right side
    632,157x = 1,894,947,718,041
  5. Step 5: Solve for x
    x = 1,894,947,718,041/632,157
  6. Step 6: Final answer
    x = 2,997,590.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.