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Finding the Third Proportional to 492,884 and 1,059,376

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Solution

The third proportional to 492,884 and 1,059,376 is: 2,276,960.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,884 : 1,059,376 = 1,059,376 : x
  2. Step 2: Convert to fraction form
    492,884/1,059,376 = 1,059,376/x
  3. Step 3: Cross multiply
    492,884x = 1,059,376 × 1,059,376
  4. Step 4: Simplify right side
    492,884x = 1,122,277,509,376
  5. Step 5: Solve for x
    x = 1,122,277,509,376/492,884
  6. Step 6: Final answer
    x = 2,276,960.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.