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Finding the Third Proportional to 613,425 and 931,173

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Solution

The third proportional to 613,425 and 931,173 is: 1,413,511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,425 : 931,173 = 931,173 : x
  2. Step 2: Convert to fraction form
    613,425/931,173 = 931,173/x
  3. Step 3: Cross multiply
    613,425x = 931,173 × 931,173
  4. Step 4: Simplify right side
    613,425x = 867,083,155,929
  5. Step 5: Solve for x
    x = 867,083,155,929/613,425
  6. Step 6: Final answer
    x = 1,413,511.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.