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Finding the Third Proportional to 539,807.63 and 1,146,035.25

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Solution

The third proportional to 539,807.63 and 1,146,035.25 is: 2,433,083.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,807.63 : 1,146,035.25 = 1,146,035.25 : x
  2. Step 2: Convert to fraction form
    539,807.63/1,146,035.25 = 1,146,035.25/x
  3. Step 3: Cross multiply
    539,807.63x = 1,146,035.25 × 1,146,035.25
  4. Step 4: Simplify right side
    539,807.63x = 1,313,396,794,242.56
  5. Step 5: Solve for x
    x = 1,313,396,794,242.56/539,807.63
  6. Step 6: Final answer
    x = 2,433,083.07

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.