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Finding the Third Proportional to 496,119 and 1,076,256

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Solution

The third proportional to 496,119 and 1,076,256 is: 2,334,776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,119 : 1,076,256 = 1,076,256 : x
  2. Step 2: Convert to fraction form
    496,119/1,076,256 = 1,076,256/x
  3. Step 3: Cross multiply
    496,119x = 1,076,256 × 1,076,256
  4. Step 4: Simplify right side
    496,119x = 1,158,326,977,536
  5. Step 5: Solve for x
    x = 1,158,326,977,536/496,119
  6. Step 6: Final answer
    x = 2,334,776.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.