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Finding the Third Proportional to 578,975 and 1,256,968

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Solution

The third proportional to 578,975 and 1,256,968 is: 2,728,906.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,975 : 1,256,968 = 1,256,968 : x
  2. Step 2: Convert to fraction form
    578,975/1,256,968 = 1,256,968/x
  3. Step 3: Cross multiply
    578,975x = 1,256,968 × 1,256,968
  4. Step 4: Simplify right side
    578,975x = 1,579,968,553,024
  5. Step 5: Solve for x
    x = 1,579,968,553,024/578,975
  6. Step 6: Final answer
    x = 2,728,906.35

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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.