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Finding the Third Proportional to 407,880 and 874,810

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Solution

The third proportional to 407,880 and 874,810 is: 1,876,268.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,880 : 874,810 = 874,810 : x
  2. Step 2: Convert to fraction form
    407,880/874,810 = 874,810/x
  3. Step 3: Cross multiply
    407,880x = 874,810 × 874,810
  4. Step 4: Simplify right side
    407,880x = 765,292,536,100
  5. Step 5: Solve for x
    x = 765,292,536,100/407,880
  6. Step 6: Final answer
    x = 1,876,268.84

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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.