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Finding the Third Proportional to 631,920 and 1,510,950

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Solution

The third proportional to 631,920 and 1,510,950 is: 3,612,751.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,920 : 1,510,950 = 1,510,950 : x
  2. Step 2: Convert to fraction form
    631,920/1,510,950 = 1,510,950/x
  3. Step 3: Cross multiply
    631,920x = 1,510,950 × 1,510,950
  4. Step 4: Simplify right side
    631,920x = 2,282,969,902,500
  5. Step 5: Solve for x
    x = 2,282,969,902,500/631,920
  6. Step 6: Final answer
    x = 3,612,751.46

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.