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Finding the Third Proportional to 433,846.13 and 940,683.38

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Solution

The third proportional to 433,846.13 and 940,683.38 is: 2,039,629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,846.13 : 940,683.38 = 940,683.38 : x
  2. Step 2: Convert to fraction form
    433,846.13/940,683.38 = 940,683.38/x
  3. Step 3: Cross multiply
    433,846.13x = 940,683.38 × 940,683.38
  4. Step 4: Simplify right side
    433,846.13x = 884,885,212,001.39
  5. Step 5: Solve for x
    x = 884,885,212,001.39/433,846.13
  6. Step 6: Final answer
    x = 2,039,629.17

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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.