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Finding the Third Proportional to 512,880 and 1,187,226

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Solution

The third proportional to 512,880 and 1,187,226 is: 2,748,217.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,880 : 1,187,226 = 1,187,226 : x
  2. Step 2: Convert to fraction form
    512,880/1,187,226 = 1,187,226/x
  3. Step 3: Cross multiply
    512,880x = 1,187,226 × 1,187,226
  4. Step 4: Simplify right side
    512,880x = 1,409,505,575,076
  5. Step 5: Solve for x
    x = 1,409,505,575,076/512,880
  6. Step 6: Final answer
    x = 2,748,217.08

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.