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Finding the Third Proportional to 590,180 and 1,264,512

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Solution

The third proportional to 590,180 and 1,264,512 is: 2,709,326.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,180 : 1,264,512 = 1,264,512 : x
  2. Step 2: Convert to fraction form
    590,180/1,264,512 = 1,264,512/x
  3. Step 3: Cross multiply
    590,180x = 1,264,512 × 1,264,512
  4. Step 4: Simplify right side
    590,180x = 1,598,990,598,144
  5. Step 5: Solve for x
    x = 1,598,990,598,144/590,180
  6. Step 6: Final answer
    x = 2,709,326.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.