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Finding the Third Proportional to 431,346.38 and 934,089.75

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Solution

The third proportional to 431,346.38 and 934,089.75 is: 2,022,791.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,346.38 : 934,089.75 = 934,089.75 : x
  2. Step 2: Convert to fraction form
    431,346.38/934,089.75 = 934,089.75/x
  3. Step 3: Cross multiply
    431,346.38x = 934,089.75 × 934,089.75
  4. Step 4: Simplify right side
    431,346.38x = 872,523,661,055.06
  5. Step 5: Solve for x
    x = 872,523,661,055.06/431,346.38
  6. Step 6: Final answer
    x = 2,022,791.22

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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.