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Finding the Third Proportional to 407,741 and 874,531

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Solution

The third proportional to 407,741 and 874,531 is: 1,875,711.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,741 : 874,531 = 874,531 : x
  2. Step 2: Convert to fraction form
    407,741/874,531 = 874,531/x
  3. Step 3: Cross multiply
    407,741x = 874,531 × 874,531
  4. Step 4: Simplify right side
    407,741x = 764,804,469,961
  5. Step 5: Solve for x
    x = 764,804,469,961/407,741
  6. Step 6: Final answer
    x = 1,875,711.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.