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Finding the Third Proportional to 501,424 and 1,072,827

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Solution

The third proportional to 501,424 and 1,072,827 is: 2,295,378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,424 : 1,072,827 = 1,072,827 : x
  2. Step 2: Convert to fraction form
    501,424/1,072,827 = 1,072,827/x
  3. Step 3: Cross multiply
    501,424x = 1,072,827 × 1,072,827
  4. Step 4: Simplify right side
    501,424x = 1,150,957,771,929
  5. Step 5: Solve for x
    x = 1,150,957,771,929/501,424
  6. Step 6: Final answer
    x = 2,295,378.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.