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Finding the Third Proportional to 429,608.81 and 941,845.22

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Solution

The third proportional to 429,608.81 and 941,845.22 is: 2,064,837.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,608.81 : 941,845.22 = 941,845.22 : x
  2. Step 2: Convert to fraction form
    429,608.81/941,845.22 = 941,845.22/x
  3. Step 3: Cross multiply
    429,608.81x = 941,845.22 × 941,845.22
  4. Step 4: Simplify right side
    429,608.81x = 887,072,416,082.24
  5. Step 5: Solve for x
    x = 887,072,416,082.24/429,608.81
  6. Step 6: Final answer
    x = 2,064,837.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.