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Finding the Third Proportional to 518,914 and 1,139,984

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Solution

The third proportional to 518,914 and 1,139,984 is: 2,504,390.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,914 : 1,139,984 = 1,139,984 : x
  2. Step 2: Convert to fraction form
    518,914/1,139,984 = 1,139,984/x
  3. Step 3: Cross multiply
    518,914x = 1,139,984 × 1,139,984
  4. Step 4: Simplify right side
    518,914x = 1,299,563,520,256
  5. Step 5: Solve for x
    x = 1,299,563,520,256/518,914
  6. Step 6: Final answer
    x = 2,504,390.94

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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.