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Finding the Third Proportional to 539,907 and 1,181,511

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Solution

The third proportional to 539,907 and 1,181,511 is: 2,585,571.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,907 : 1,181,511 = 1,181,511 : x
  2. Step 2: Convert to fraction form
    539,907/1,181,511 = 1,181,511/x
  3. Step 3: Cross multiply
    539,907x = 1,181,511 × 1,181,511
  4. Step 4: Simplify right side
    539,907x = 1,395,968,243,121
  5. Step 5: Solve for x
    x = 1,395,968,243,121/539,907
  6. Step 6: Final answer
    x = 2,585,571.67

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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.