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Finding the Third Proportional to 486,198 and 736,011

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Solution

The third proportional to 486,198 and 736,011 is: 1,114,180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,198 : 736,011 = 736,011 : x
  2. Step 2: Convert to fraction form
    486,198/736,011 = 736,011/x
  3. Step 3: Cross multiply
    486,198x = 736,011 × 736,011
  4. Step 4: Simplify right side
    486,198x = 541,712,192,121
  5. Step 5: Solve for x
    x = 541,712,192,121/486,198
  6. Step 6: Final answer
    x = 1,114,180.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.