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Finding the Third Proportional to 585,689 and 1,187,676

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Solution

The third proportional to 585,689 and 1,187,676 is: 2,408,401.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,689 : 1,187,676 = 1,187,676 : x
  2. Step 2: Convert to fraction form
    585,689/1,187,676 = 1,187,676/x
  3. Step 3: Cross multiply
    585,689x = 1,187,676 × 1,187,676
  4. Step 4: Simplify right side
    585,689x = 1,410,574,280,976
  5. Step 5: Solve for x
    x = 1,410,574,280,976/585,689
  6. Step 6: Final answer
    x = 2,408,401.53

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.