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Finding the Third Proportional to 498,478 and 1,081,088

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Solution

The third proportional to 498,478 and 1,081,088 is: 2,344,639.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,478 : 1,081,088 = 1,081,088 : x
  2. Step 2: Convert to fraction form
    498,478/1,081,088 = 1,081,088/x
  3. Step 3: Cross multiply
    498,478x = 1,081,088 × 1,081,088
  4. Step 4: Simplify right side
    498,478x = 1,168,751,263,744
  5. Step 5: Solve for x
    x = 1,168,751,263,744/498,478
  6. Step 6: Final answer
    x = 2,344,639.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.