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Finding the Third Proportional to 594,886 and 906,266

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Solution

The third proportional to 594,886 and 906,266 is: 1,380,631.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,886 : 906,266 = 906,266 : x
  2. Step 2: Convert to fraction form
    594,886/906,266 = 906,266/x
  3. Step 3: Cross multiply
    594,886x = 906,266 × 906,266
  4. Step 4: Simplify right side
    594,886x = 821,318,062,756
  5. Step 5: Solve for x
    x = 821,318,062,756/594,886
  6. Step 6: Final answer
    x = 1,380,631.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.