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Finding the Third Proportional to 580,230 and 1,246,167

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Solution

The third proportional to 580,230 and 1,246,167 is: 2,676,407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,230 : 1,246,167 = 1,246,167 : x
  2. Step 2: Convert to fraction form
    580,230/1,246,167 = 1,246,167/x
  3. Step 3: Cross multiply
    580,230x = 1,246,167 × 1,246,167
  4. Step 4: Simplify right side
    580,230x = 1,552,932,191,889
  5. Step 5: Solve for x
    x = 1,552,932,191,889/580,230
  6. Step 6: Final answer
    x = 2,676,407.96

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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.