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Finding the Third Proportional to 580,872 and 1,273,520

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Solution

The third proportional to 580,872 and 1,273,520 is: 2,792,100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,872 : 1,273,520 = 1,273,520 : x
  2. Step 2: Convert to fraction form
    580,872/1,273,520 = 1,273,520/x
  3. Step 3: Cross multiply
    580,872x = 1,273,520 × 1,273,520
  4. Step 4: Simplify right side
    580,872x = 1,621,853,190,400
  5. Step 5: Solve for x
    x = 1,621,853,190,400/580,872
  6. Step 6: Final answer
    x = 2,792,100.82

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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.