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Finding the Third Proportional to 496,858 and 1,077,748

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Solution

The third proportional to 496,858 and 1,077,748 is: 2,337,772.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,858 : 1,077,748 = 1,077,748 : x
  2. Step 2: Convert to fraction form
    496,858/1,077,748 = 1,077,748/x
  3. Step 3: Cross multiply
    496,858x = 1,077,748 × 1,077,748
  4. Step 4: Simplify right side
    496,858x = 1,161,540,751,504
  5. Step 5: Solve for x
    x = 1,161,540,751,504/496,858
  6. Step 6: Final answer
    x = 2,337,772.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.