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Finding the Third Proportional to 587,951 and 1,288,008

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Solution

The third proportional to 587,951 and 1,288,008 is: 2,821,603.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,951 : 1,288,008 = 1,288,008 : x
  2. Step 2: Convert to fraction form
    587,951/1,288,008 = 1,288,008/x
  3. Step 3: Cross multiply
    587,951x = 1,288,008 × 1,288,008
  4. Step 4: Simplify right side
    587,951x = 1,658,964,608,064
  5. Step 5: Solve for x
    x = 1,658,964,608,064/587,951
  6. Step 6: Final answer
    x = 2,821,603.51

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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.