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Finding the Third Proportional to 598,816 and 1,276,022

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Solution

The third proportional to 598,816 and 1,276,022 is: 2,719,085.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,816 : 1,276,022 = 1,276,022 : x
  2. Step 2: Convert to fraction form
    598,816/1,276,022 = 1,276,022/x
  3. Step 3: Cross multiply
    598,816x = 1,276,022 × 1,276,022
  4. Step 4: Simplify right side
    598,816x = 1,628,232,144,484
  5. Step 5: Solve for x
    x = 1,628,232,144,484/598,816
  6. Step 6: Final answer
    x = 2,719,085.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.