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Finding the Third Proportional to 598,412 and 1,291,936

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Solution

The third proportional to 598,412 and 1,291,936 is: 2,789,213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,412 : 1,291,936 = 1,291,936 : x
  2. Step 2: Convert to fraction form
    598,412/1,291,936 = 1,291,936/x
  3. Step 3: Cross multiply
    598,412x = 1,291,936 × 1,291,936
  4. Step 4: Simplify right side
    598,412x = 1,669,098,628,096
  5. Step 5: Solve for x
    x = 1,669,098,628,096/598,412
  6. Step 6: Final answer
    x = 2,789,213.16

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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.