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Finding the Third Proportional to 578,576 and 1,256,672

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Solution

The third proportional to 578,576 and 1,256,672 is: 2,729,502.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,576 : 1,256,672 = 1,256,672 : x
  2. Step 2: Convert to fraction form
    578,576/1,256,672 = 1,256,672/x
  3. Step 3: Cross multiply
    578,576x = 1,256,672 × 1,256,672
  4. Step 4: Simplify right side
    578,576x = 1,579,224,515,584
  5. Step 5: Solve for x
    x = 1,579,224,515,584/578,576
  6. Step 6: Final answer
    x = 2,729,502.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.