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Finding the Third Proportional to 617,698 and 921,150

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Solution

The third proportional to 617,698 and 921,150 is: 1,373,676.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,698 : 921,150 = 921,150 : x
  2. Step 2: Convert to fraction form
    617,698/921,150 = 921,150/x
  3. Step 3: Cross multiply
    617,698x = 921,150 × 921,150
  4. Step 4: Simplify right side
    617,698x = 848,517,322,500
  5. Step 5: Solve for x
    x = 848,517,322,500/617,698
  6. Step 6: Final answer
    x = 1,373,676.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.