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Finding the Third Proportional to 851,096 and 1,260,212

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Solution

The third proportional to 851,096 and 1,260,212 is: 1,865,987.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,096 : 1,260,212 = 1,260,212 : x
  2. Step 2: Convert to fraction form
    851,096/1,260,212 = 1,260,212/x
  3. Step 3: Cross multiply
    851,096x = 1,260,212 × 1,260,212
  4. Step 4: Simplify right side
    851,096x = 1,588,134,284,944
  5. Step 5: Solve for x
    x = 1,588,134,284,944/851,096
  6. Step 6: Final answer
    x = 1,865,987.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.