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Finding the Third Proportional to 501,997 and 1,076,786

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Solution

The third proportional to 501,997 and 1,076,786 is: 2,309,711.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,997 : 1,076,786 = 1,076,786 : x
  2. Step 2: Convert to fraction form
    501,997/1,076,786 = 1,076,786/x
  3. Step 3: Cross multiply
    501,997x = 1,076,786 × 1,076,786
  4. Step 4: Simplify right side
    501,997x = 1,159,468,089,796
  5. Step 5: Solve for x
    x = 1,159,468,089,796/501,997
  6. Step 6: Final answer
    x = 2,309,711.19

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.