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Finding the Third Proportional to 519,684 and 1,138,674

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Solution

The third proportional to 519,684 and 1,138,674 is: 2,494,936.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,684 : 1,138,674 = 1,138,674 : x
  2. Step 2: Convert to fraction form
    519,684/1,138,674 = 1,138,674/x
  3. Step 3: Cross multiply
    519,684x = 1,138,674 × 1,138,674
  4. Step 4: Simplify right side
    519,684x = 1,296,578,478,276
  5. Step 5: Solve for x
    x = 1,296,578,478,276/519,684
  6. Step 6: Final answer
    x = 2,494,936.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.