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Finding the Third Proportional to 498,751 and 1,032,979

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Solution

The third proportional to 498,751 and 1,032,979 is: 2,139,435.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,751 : 1,032,979 = 1,032,979 : x
  2. Step 2: Convert to fraction form
    498,751/1,032,979 = 1,032,979/x
  3. Step 3: Cross multiply
    498,751x = 1,032,979 × 1,032,979
  4. Step 4: Simplify right side
    498,751x = 1,067,045,614,441
  5. Step 5: Solve for x
    x = 1,067,045,614,441/498,751
  6. Step 6: Final answer
    x = 2,139,435.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.