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Finding the Third Proportional to 539,675 and 1,188,011

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Solution

The third proportional to 539,675 and 1,188,011 is: 2,615,222.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,675 : 1,188,011 = 1,188,011 : x
  2. Step 2: Convert to fraction form
    539,675/1,188,011 = 1,188,011/x
  3. Step 3: Cross multiply
    539,675x = 1,188,011 × 1,188,011
  4. Step 4: Simplify right side
    539,675x = 1,411,370,136,121
  5. Step 5: Solve for x
    x = 1,411,370,136,121/539,675
  6. Step 6: Final answer
    x = 2,615,222.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.