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Finding the Third Proportional to 551,096 and 843,005

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Solution

The third proportional to 551,096 and 843,005 is: 1,289,534.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,096 : 843,005 = 843,005 : x
  2. Step 2: Convert to fraction form
    551,096/843,005 = 843,005/x
  3. Step 3: Cross multiply
    551,096x = 843,005 × 843,005
  4. Step 4: Simplify right side
    551,096x = 710,657,430,025
  5. Step 5: Solve for x
    x = 710,657,430,025/551,096
  6. Step 6: Final answer
    x = 1,289,534.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.