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Finding the Third Proportional to 954,180 and 2,083,104

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Solution

The third proportional to 954,180 and 2,083,104 is: 4,547,697.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    954,180 : 2,083,104 = 2,083,104 : x
  2. Step 2: Convert to fraction form
    954,180/2,083,104 = 2,083,104/x
  3. Step 3: Cross multiply
    954,180x = 2,083,104 × 2,083,104
  4. Step 4: Simplify right side
    954,180x = 4,339,322,274,816
  5. Step 5: Solve for x
    x = 4,339,322,274,816/954,180
  6. Step 6: Final answer
    x = 4,547,697.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.