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Finding the Third Proportional to 540,848.25 and 1,154,099.25

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Solution

The third proportional to 540,848.25 and 1,154,099.25 is: 2,462,696.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,848.25 : 1,154,099.25 = 1,154,099.25 : x
  2. Step 2: Convert to fraction form
    540,848.25/1,154,099.25 = 1,154,099.25/x
  3. Step 3: Cross multiply
    540,848.25x = 1,154,099.25 × 1,154,099.25
  4. Step 4: Simplify right side
    540,848.25x = 1,331,945,078,850.56
  5. Step 5: Solve for x
    x = 1,331,945,078,850.56/540,848.25
  6. Step 6: Final answer
    x = 2,462,696.48

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.