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Finding the Third Proportional to 577,233 and 1,336,147.31

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Solution

The third proportional to 577,233 and 1,336,147.31 is: 3,092,840.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,233 : 1,336,147.31 = 1,336,147.31 : x
  2. Step 2: Convert to fraction form
    577,233/1,336,147.31 = 1,336,147.31/x
  3. Step 3: Cross multiply
    577,233x = 1,336,147.31 × 1,336,147.31
  4. Step 4: Simplify right side
    577,233x = 1,785,289,640,700.97
  5. Step 5: Solve for x
    x = 1,785,289,640,700.97/577,233
  6. Step 6: Final answer
    x = 3,092,840.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.