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Finding the Third Proportional to 952,541 and 1,451,144

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Solution

The third proportional to 952,541 and 1,451,144 is: 2,210,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,541 : 1,451,144 = 1,451,144 : x
  2. Step 2: Convert to fraction form
    952,541/1,451,144 = 1,451,144/x
  3. Step 3: Cross multiply
    952,541x = 1,451,144 × 1,451,144
  4. Step 4: Simplify right side
    952,541x = 2,105,818,908,736
  5. Step 5: Solve for x
    x = 2,105,818,908,736/952,541
  6. Step 6: Final answer
    x = 2,210,738.34

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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.