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Finding the Third Proportional to 607,181 and 965,042

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Solution

The third proportional to 607,181 and 965,042 is: 1,533,819.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,181 : 965,042 = 965,042 : x
  2. Step 2: Convert to fraction form
    607,181/965,042 = 965,042/x
  3. Step 3: Cross multiply
    607,181x = 965,042 × 965,042
  4. Step 4: Simplify right side
    607,181x = 931,306,061,764
  5. Step 5: Solve for x
    x = 931,306,061,764/607,181
  6. Step 6: Final answer
    x = 1,533,819.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.