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Finding the Third Proportional to 498,816 and 1,090,944

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Solution

The third proportional to 498,816 and 1,090,944 is: 2,385,967.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,816 : 1,090,944 = 1,090,944 : x
  2. Step 2: Convert to fraction form
    498,816/1,090,944 = 1,090,944/x
  3. Step 3: Cross multiply
    498,816x = 1,090,944 × 1,090,944
  4. Step 4: Simplify right side
    498,816x = 1,190,158,811,136
  5. Step 5: Solve for x
    x = 1,190,158,811,136/498,816
  6. Step 6: Final answer
    x = 2,385,967.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.