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Finding the Third Proportional to 433,747.13 and 939,887.44

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Solution

The third proportional to 433,747.13 and 939,887.44 is: 2,036,643.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,747.13 : 939,887.44 = 939,887.44 : x
  2. Step 2: Convert to fraction form
    433,747.13/939,887.44 = 939,887.44/x
  3. Step 3: Cross multiply
    433,747.13x = 939,887.44 × 939,887.44
  4. Step 4: Simplify right side
    433,747.13x = 883,388,395,170.32
  5. Step 5: Solve for x
    x = 883,388,395,170.32/433,747.13
  6. Step 6: Final answer
    x = 2,036,643.81

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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.