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Finding the Third Proportional to 490,152 and 1,076,961

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Solution

The third proportional to 490,152 and 1,076,961 is: 2,366,296.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,152 : 1,076,961 = 1,076,961 : x
  2. Step 2: Convert to fraction form
    490,152/1,076,961 = 1,076,961/x
  3. Step 3: Cross multiply
    490,152x = 1,076,961 × 1,076,961
  4. Step 4: Simplify right side
    490,152x = 1,159,844,995,521
  5. Step 5: Solve for x
    x = 1,159,844,995,521/490,152
  6. Step 6: Final answer
    x = 2,366,296.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.