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Finding the Third Proportional to 580,898 and 1,273,588

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Solution

The third proportional to 580,898 and 1,273,588 is: 2,792,274.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,898 : 1,273,588 = 1,273,588 : x
  2. Step 2: Convert to fraction form
    580,898/1,273,588 = 1,273,588/x
  3. Step 3: Cross multiply
    580,898x = 1,273,588 × 1,273,588
  4. Step 4: Simplify right side
    580,898x = 1,622,026,393,744
  5. Step 5: Solve for x
    x = 1,622,026,393,744/580,898
  6. Step 6: Final answer
    x = 2,792,274.02

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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.