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Finding the Third Proportional to 498,338 and 1,169,927

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Solution

The third proportional to 498,338 and 1,169,927 is: 2,746,588.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,338 : 1,169,927 = 1,169,927 : x
  2. Step 2: Convert to fraction form
    498,338/1,169,927 = 1,169,927/x
  3. Step 3: Cross multiply
    498,338x = 1,169,927 × 1,169,927
  4. Step 4: Simplify right side
    498,338x = 1,368,729,185,329
  5. Step 5: Solve for x
    x = 1,368,729,185,329/498,338
  6. Step 6: Final answer
    x = 2,746,588.03

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.