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Finding the Third Proportional to 737,698 and 1,609,412

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Solution

The third proportional to 737,698 and 1,609,412 is: 3,511,202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,698 : 1,609,412 = 1,609,412 : x
  2. Step 2: Convert to fraction form
    737,698/1,609,412 = 1,609,412/x
  3. Step 3: Cross multiply
    737,698x = 1,609,412 × 1,609,412
  4. Step 4: Simplify right side
    737,698x = 2,590,206,985,744
  5. Step 5: Solve for x
    x = 2,590,206,985,744/737,698
  6. Step 6: Final answer
    x = 3,511,202.40

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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.