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Finding the Third Proportional to 580,824 and 1,245,690

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Solution

The third proportional to 580,824 and 1,245,690 is: 2,671,624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,824 : 1,245,690 = 1,245,690 : x
  2. Step 2: Convert to fraction form
    580,824/1,245,690 = 1,245,690/x
  3. Step 3: Cross multiply
    580,824x = 1,245,690 × 1,245,690
  4. Step 4: Simplify right side
    580,824x = 1,551,743,576,100
  5. Step 5: Solve for x
    x = 1,551,743,576,100/580,824
  6. Step 6: Final answer
    x = 2,671,624.41

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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.