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Finding the Third Proportional to 737,579 and 1,609,201

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Solution

The third proportional to 737,579 and 1,609,201 is: 3,510,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,579 : 1,609,201 = 1,609,201 : x
  2. Step 2: Convert to fraction form
    737,579/1,609,201 = 1,609,201/x
  3. Step 3: Cross multiply
    737,579x = 1,609,201 × 1,609,201
  4. Step 4: Simplify right side
    737,579x = 2,589,527,858,401
  5. Step 5: Solve for x
    x = 2,589,527,858,401/737,579
  6. Step 6: Final answer
    x = 3,510,848.14

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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.