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Finding the Third Proportional to 407,244 and 874,760

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Solution

The third proportional to 407,244 and 874,760 is: 1,878,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,244 : 874,760 = 874,760 : x
  2. Step 2: Convert to fraction form
    407,244/874,760 = 874,760/x
  3. Step 3: Cross multiply
    407,244x = 874,760 × 874,760
  4. Step 4: Simplify right side
    407,244x = 765,205,057,600
  5. Step 5: Solve for x
    x = 765,205,057,600/407,244
  6. Step 6: Final answer
    x = 1,878,984.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.