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Finding the Third Proportional to 495,288 and 1,085,512

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Solution

The third proportional to 495,288 and 1,085,512 is: 2,379,093.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,288 : 1,085,512 = 1,085,512 : x
  2. Step 2: Convert to fraction form
    495,288/1,085,512 = 1,085,512/x
  3. Step 3: Cross multiply
    495,288x = 1,085,512 × 1,085,512
  4. Step 4: Simplify right side
    495,288x = 1,178,336,302,144
  5. Step 5: Solve for x
    x = 1,178,336,302,144/495,288
  6. Step 6: Final answer
    x = 2,379,093.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.