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Finding the Third Proportional to 518,969 and 1,140,178

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Solution

The third proportional to 518,969 and 1,140,178 is: 2,504,977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,969 : 1,140,178 = 1,140,178 : x
  2. Step 2: Convert to fraction form
    518,969/1,140,178 = 1,140,178/x
  3. Step 3: Cross multiply
    518,969x = 1,140,178 × 1,140,178
  4. Step 4: Simplify right side
    518,969x = 1,300,005,871,684
  5. Step 5: Solve for x
    x = 1,300,005,871,684/518,969
  6. Step 6: Final answer
    x = 2,504,977.89

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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.