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Finding the Third Proportional to 545,719 and 1,147,993.50

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Solution

The third proportional to 545,719 and 1,147,993.50 is: 2,414,959.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,719 : 1,147,993.50 = 1,147,993.50 : x
  2. Step 2: Convert to fraction form
    545,719/1,147,993.50 = 1,147,993.50/x
  3. Step 3: Cross multiply
    545,719x = 1,147,993.50 × 1,147,993.50
  4. Step 4: Simplify right side
    545,719x = 1,317,889,076,042.25
  5. Step 5: Solve for x
    x = 1,317,889,076,042.25/545,719
  6. Step 6: Final answer
    x = 2,414,959.12

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.