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Finding the Third Proportional to 451,208 and 952,528

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Solution

The third proportional to 451,208 and 952,528 is: 2,010,845.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,208 : 952,528 = 952,528 : x
  2. Step 2: Convert to fraction form
    451,208/952,528 = 952,528/x
  3. Step 3: Cross multiply
    451,208x = 952,528 × 952,528
  4. Step 4: Simplify right side
    451,208x = 907,309,590,784
  5. Step 5: Solve for x
    x = 907,309,590,784/451,208
  6. Step 6: Final answer
    x = 2,010,845.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.