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Finding the Third Proportional to 906,829.50 and 1,979,844

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Solution

The third proportional to 906,829.50 and 1,979,844 is: 4,322,512.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,829.50 : 1,979,844 = 1,979,844 : x
  2. Step 2: Convert to fraction form
    906,829.50/1,979,844 = 1,979,844/x
  3. Step 3: Cross multiply
    906,829.50x = 1,979,844 × 1,979,844
  4. Step 4: Simplify right side
    906,829.50x = 3,919,782,264,336
  5. Step 5: Solve for x
    x = 3,919,782,264,336/906,829.50
  6. Step 6: Final answer
    x = 4,322,512.96

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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.