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Finding the Third Proportional to 541,986.19 and 1,281,749.06

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Solution

The third proportional to 541,986.19 and 1,281,749.06 is: 3,031,222.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,986.19 : 1,281,749.06 = 1,281,749.06 : x
  2. Step 2: Convert to fraction form
    541,986.19/1,281,749.06 = 1,281,749.06/x
  3. Step 3: Cross multiply
    541,986.19x = 1,281,749.06 × 1,281,749.06
  4. Step 4: Simplify right side
    541,986.19x = 1,642,880,659,219.63
  5. Step 5: Solve for x
    x = 1,642,880,659,219.63/541,986.19
  6. Step 6: Final answer
    x = 3,031,222.38

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.