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Finding the Third Proportional to 647,476 and 1,320,632

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Solution

The third proportional to 647,476 and 1,320,632 is: 2,693,642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,476 : 1,320,632 = 1,320,632 : x
  2. Step 2: Convert to fraction form
    647,476/1,320,632 = 1,320,632/x
  3. Step 3: Cross multiply
    647,476x = 1,320,632 × 1,320,632
  4. Step 4: Simplify right side
    647,476x = 1,744,068,879,424
  5. Step 5: Solve for x
    x = 1,744,068,879,424/647,476
  6. Step 6: Final answer
    x = 2,693,642.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.