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Finding the Third Proportional to 580,806 and 1,245,687

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Solution

The third proportional to 580,806 and 1,245,687 is: 2,671,694.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,806 : 1,245,687 = 1,245,687 : x
  2. Step 2: Convert to fraction form
    580,806/1,245,687 = 1,245,687/x
  3. Step 3: Cross multiply
    580,806x = 1,245,687 × 1,245,687
  4. Step 4: Simplify right side
    580,806x = 1,551,736,101,969
  5. Step 5: Solve for x
    x = 1,551,736,101,969/580,806
  6. Step 6: Final answer
    x = 2,671,694.34

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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.