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Finding the Third Proportional to 501,393 and 1,072,770

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Solution

The third proportional to 501,393 and 1,072,770 is: 2,295,276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,393 : 1,072,770 = 1,072,770 : x
  2. Step 2: Convert to fraction form
    501,393/1,072,770 = 1,072,770/x
  3. Step 3: Cross multiply
    501,393x = 1,072,770 × 1,072,770
  4. Step 4: Simplify right side
    501,393x = 1,150,835,472,900
  5. Step 5: Solve for x
    x = 1,150,835,472,900/501,393
  6. Step 6: Final answer
    x = 2,295,276.31

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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.