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Finding the Third Proportional to 947,429 and 2,072,005

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Solution

The third proportional to 947,429 and 2,072,005 is: 4,531,426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,429 : 2,072,005 = 2,072,005 : x
  2. Step 2: Convert to fraction form
    947,429/2,072,005 = 2,072,005/x
  3. Step 3: Cross multiply
    947,429x = 2,072,005 × 2,072,005
  4. Step 4: Simplify right side
    947,429x = 4,293,204,720,025
  5. Step 5: Solve for x
    x = 4,293,204,720,025/947,429
  6. Step 6: Final answer
    x = 4,531,426.33

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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.