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Finding the Third Proportional to 1,076,186.25 and 2,362,301.72

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Solution

The third proportional to 1,076,186.25 and 2,362,301.72 is: 5,185,412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,186.25 : 2,362,301.72 = 2,362,301.72 : x
  2. Step 2: Convert to fraction form
    1,076,186.25/2,362,301.72 = 2,362,301.72/x
  3. Step 3: Cross multiply
    1,076,186.25x = 2,362,301.72 × 2,362,301.72
  4. Step 4: Simplify right side
    1,076,186.25x = 5,580,469,410,409.20
  5. Step 5: Solve for x
    x = 5,580,469,410,409.20/1,076,186.25
  6. Step 6: Final answer
    x = 5,185,412.29

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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.