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Finding the Third Proportional to 498,816 and 1,207,584

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Solution

The third proportional to 498,816 and 1,207,584 is: 2,923,440.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,816 : 1,207,584 = 1,207,584 : x
  2. Step 2: Convert to fraction form
    498,816/1,207,584 = 1,207,584/x
  3. Step 3: Cross multiply
    498,816x = 1,207,584 × 1,207,584
  4. Step 4: Simplify right side
    498,816x = 1,458,259,117,056
  5. Step 5: Solve for x
    x = 1,458,259,117,056/498,816
  6. Step 6: Final answer
    x = 2,923,440.94

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.