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Finding the Third Proportional to 580,950 and 1,253,664

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Solution

The third proportional to 580,950 and 1,253,664 is: 2,705,350.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,950 : 1,253,664 = 1,253,664 : x
  2. Step 2: Convert to fraction form
    580,950/1,253,664 = 1,253,664/x
  3. Step 3: Cross multiply
    580,950x = 1,253,664 × 1,253,664
  4. Step 4: Simplify right side
    580,950x = 1,571,673,424,896
  5. Step 5: Solve for x
    x = 1,571,673,424,896/580,950
  6. Step 6: Final answer
    x = 2,705,350.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.