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Finding the Third Proportional to 539,056 and 843,096

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Solution

The third proportional to 539,056 and 843,096 is: 1,318,621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,056 : 843,096 = 843,096 : x
  2. Step 2: Convert to fraction form
    539,056/843,096 = 843,096/x
  3. Step 3: Cross multiply
    539,056x = 843,096 × 843,096
  4. Step 4: Simplify right side
    539,056x = 710,810,865,216
  5. Step 5: Solve for x
    x = 710,810,865,216/539,056
  6. Step 6: Final answer
    x = 1,318,621.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.