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Finding the Third Proportional to 584,578 and 1,256,181

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Solution

The third proportional to 584,578 and 1,256,181 is: 2,699,367.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,578 : 1,256,181 = 1,256,181 : x
  2. Step 2: Convert to fraction form
    584,578/1,256,181 = 1,256,181/x
  3. Step 3: Cross multiply
    584,578x = 1,256,181 × 1,256,181
  4. Step 4: Simplify right side
    584,578x = 1,577,990,704,761
  5. Step 5: Solve for x
    x = 1,577,990,704,761/584,578
  6. Step 6: Final answer
    x = 2,699,367.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.