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Finding the Third Proportional to 545,738 and 1,181,152

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Solution

The third proportional to 545,738 and 1,181,152 is: 2,556,391.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,738 : 1,181,152 = 1,181,152 : x
  2. Step 2: Convert to fraction form
    545,738/1,181,152 = 1,181,152/x
  3. Step 3: Cross multiply
    545,738x = 1,181,152 × 1,181,152
  4. Step 4: Simplify right side
    545,738x = 1,395,120,047,104
  5. Step 5: Solve for x
    x = 1,395,120,047,104/545,738
  6. Step 6: Final answer
    x = 2,556,391.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.