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Finding the Third Proportional to 565,760 and 1,232,512

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Solution

The third proportional to 565,760 and 1,232,512 is: 2,685,035.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,760 : 1,232,512 = 1,232,512 : x
  2. Step 2: Convert to fraction form
    565,760/1,232,512 = 1,232,512/x
  3. Step 3: Cross multiply
    565,760x = 1,232,512 × 1,232,512
  4. Step 4: Simplify right side
    565,760x = 1,519,085,830,144
  5. Step 5: Solve for x
    x = 1,519,085,830,144/565,760
  6. Step 6: Final answer
    x = 2,685,035.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.