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Finding the Third Proportional to 499,840 and 1,079,504

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Solution

The third proportional to 499,840 and 1,079,504 is: 2,331,403.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,840 : 1,079,504 = 1,079,504 : x
  2. Step 2: Convert to fraction form
    499,840/1,079,504 = 1,079,504/x
  3. Step 3: Cross multiply
    499,840x = 1,079,504 × 1,079,504
  4. Step 4: Simplify right side
    499,840x = 1,165,328,886,016
  5. Step 5: Solve for x
    x = 1,165,328,886,016/499,840
  6. Step 6: Final answer
    x = 2,331,403.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.