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Finding the Third Proportional to 587,957 and 1,288,015

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Solution

The third proportional to 587,957 and 1,288,015 is: 2,821,605.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,957 : 1,288,015 = 1,288,015 : x
  2. Step 2: Convert to fraction form
    587,957/1,288,015 = 1,288,015/x
  3. Step 3: Cross multiply
    587,957x = 1,288,015 × 1,288,015
  4. Step 4: Simplify right side
    587,957x = 1,658,982,640,225
  5. Step 5: Solve for x
    x = 1,658,982,640,225/587,957
  6. Step 6: Final answer
    x = 2,821,605.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.