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Finding the Third Proportional to 952,544 and 1,451,148

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Solution

The third proportional to 952,544 and 1,451,148 is: 2,210,743.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,544 : 1,451,148 = 1,451,148 : x
  2. Step 2: Convert to fraction form
    952,544/1,451,148 = 1,451,148/x
  3. Step 3: Cross multiply
    952,544x = 1,451,148 × 1,451,148
  4. Step 4: Simplify right side
    952,544x = 2,105,830,517,904
  5. Step 5: Solve for x
    x = 2,105,830,517,904/952,544
  6. Step 6: Final answer
    x = 2,210,743.56

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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.