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Finding the Third Proportional to 594,990 and 906,436

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Solution

The third proportional to 594,990 and 906,436 is: 1,380,907.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,990 : 906,436 = 906,436 : x
  2. Step 2: Convert to fraction form
    594,990/906,436 = 906,436/x
  3. Step 3: Cross multiply
    594,990x = 906,436 × 906,436
  4. Step 4: Simplify right side
    594,990x = 821,626,222,096
  5. Step 5: Solve for x
    x = 821,626,222,096/594,990
  6. Step 6: Final answer
    x = 1,380,907.62

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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.