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Finding the Third Proportional to 493,366 and 1,078,040

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Solution

The third proportional to 493,366 and 1,078,040 is: 2,355,594.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,366 : 1,078,040 = 1,078,040 : x
  2. Step 2: Convert to fraction form
    493,366/1,078,040 = 1,078,040/x
  3. Step 3: Cross multiply
    493,366x = 1,078,040 × 1,078,040
  4. Step 4: Simplify right side
    493,366x = 1,162,170,241,600
  5. Step 5: Solve for x
    x = 1,162,170,241,600/493,366
  6. Step 6: Final answer
    x = 2,355,594.51

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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.