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Finding the Third Proportional to 481,381 and 1,043,029

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Solution

The third proportional to 481,381 and 1,043,029 is: 2,259,975.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,381 : 1,043,029 = 1,043,029 : x
  2. Step 2: Convert to fraction form
    481,381/1,043,029 = 1,043,029/x
  3. Step 3: Cross multiply
    481,381x = 1,043,029 × 1,043,029
  4. Step 4: Simplify right side
    481,381x = 1,087,909,494,841
  5. Step 5: Solve for x
    x = 1,087,909,494,841/481,381
  6. Step 6: Final answer
    x = 2,259,975.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.