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Finding the Third Proportional to 519,852 and 1,133,656

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Solution

The third proportional to 519,852 and 1,133,656 is: 2,472,195.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,852 : 1,133,656 = 1,133,656 : x
  2. Step 2: Convert to fraction form
    519,852/1,133,656 = 1,133,656/x
  3. Step 3: Cross multiply
    519,852x = 1,133,656 × 1,133,656
  4. Step 4: Simplify right side
    519,852x = 1,285,175,926,336
  5. Step 5: Solve for x
    x = 1,285,175,926,336/519,852
  6. Step 6: Final answer
    x = 2,472,195.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.