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Finding the Third Proportional to 400,118 and 874,588

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Solution

The third proportional to 400,118 and 874,588 is: 1,911,696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,118 : 874,588 = 874,588 : x
  2. Step 2: Convert to fraction form
    400,118/874,588 = 874,588/x
  3. Step 3: Cross multiply
    400,118x = 874,588 × 874,588
  4. Step 4: Simplify right side
    400,118x = 764,904,169,744
  5. Step 5: Solve for x
    x = 764,904,169,744/400,118
  6. Step 6: Final answer
    x = 1,911,696.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.