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Finding the Third Proportional to 588,312 and 1,269,936

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Solution

The third proportional to 588,312 and 1,269,936 is: 2,741,296.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,312 : 1,269,936 = 1,269,936 : x
  2. Step 2: Convert to fraction form
    588,312/1,269,936 = 1,269,936/x
  3. Step 3: Cross multiply
    588,312x = 1,269,936 × 1,269,936
  4. Step 4: Simplify right side
    588,312x = 1,612,737,444,096
  5. Step 5: Solve for x
    x = 1,612,737,444,096/588,312
  6. Step 6: Final answer
    x = 2,741,296.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.