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Finding the Third Proportional to 580,690 and 1,214,592

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Solution

The third proportional to 580,690 and 1,214,592 is: 2,540,484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,690 : 1,214,592 = 1,214,592 : x
  2. Step 2: Convert to fraction form
    580,690/1,214,592 = 1,214,592/x
  3. Step 3: Cross multiply
    580,690x = 1,214,592 × 1,214,592
  4. Step 4: Simplify right side
    580,690x = 1,475,233,726,464
  5. Step 5: Solve for x
    x = 1,475,233,726,464/580,690
  6. Step 6: Final answer
    x = 2,540,484.12

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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.