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Finding the Third Proportional to 493,336 and 1,077,984

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Solution

The third proportional to 493,336 and 1,077,984 is: 2,355,493.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,336 : 1,077,984 = 1,077,984 : x
  2. Step 2: Convert to fraction form
    493,336/1,077,984 = 1,077,984/x
  3. Step 3: Cross multiply
    493,336x = 1,077,984 × 1,077,984
  4. Step 4: Simplify right side
    493,336x = 1,162,049,504,256
  5. Step 5: Solve for x
    x = 1,162,049,504,256/493,336
  6. Step 6: Final answer
    x = 2,355,493.02

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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.