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Finding the Third Proportional to 580,719 and 1,214,664

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Solution

The third proportional to 580,719 and 1,214,664 is: 2,540,658.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,719 : 1,214,664 = 1,214,664 : x
  2. Step 2: Convert to fraction form
    580,719/1,214,664 = 1,214,664/x
  3. Step 3: Cross multiply
    580,719x = 1,214,664 × 1,214,664
  4. Step 4: Simplify right side
    580,719x = 1,475,408,632,896
  5. Step 5: Solve for x
    x = 1,475,408,632,896/580,719
  6. Step 6: Final answer
    x = 2,540,658.45

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.