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Finding the Third Proportional to 539,870.06 and 1,181,435.63

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Solution

The third proportional to 539,870.06 and 1,181,435.63 is: 2,585,418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,870.06 : 1,181,435.63 = 1,181,435.63 : x
  2. Step 2: Convert to fraction form
    539,870.06/1,181,435.63 = 1,181,435.63/x
  3. Step 3: Cross multiply
    539,870.06x = 1,181,435.63 × 1,181,435.63
  4. Step 4: Simplify right side
    539,870.06x = 1,395,790,136,019.14
  5. Step 5: Solve for x
    x = 1,395,790,136,019.14/539,870.06
  6. Step 6: Final answer
    x = 2,585,418.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.