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Finding the Third Proportional to 612,105 and 931,698

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Solution

The third proportional to 612,105 and 931,698 is: 1,418,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,105 : 931,698 = 931,698 : x
  2. Step 2: Convert to fraction form
    612,105/931,698 = 931,698/x
  3. Step 3: Cross multiply
    612,105x = 931,698 × 931,698
  4. Step 4: Simplify right side
    612,105x = 868,061,163,204
  5. Step 5: Solve for x
    x = 868,061,163,204/612,105
  6. Step 6: Final answer
    x = 1,418,157.28

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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.