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Finding the Third Proportional to 748,184 and 1,603,568

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Solution

The third proportional to 748,184 and 1,603,568 is: 3,436,895.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,184 : 1,603,568 = 1,603,568 : x
  2. Step 2: Convert to fraction form
    748,184/1,603,568 = 1,603,568/x
  3. Step 3: Cross multiply
    748,184x = 1,603,568 × 1,603,568
  4. Step 4: Simplify right side
    748,184x = 2,571,430,330,624
  5. Step 5: Solve for x
    x = 2,571,430,330,624/748,184
  6. Step 6: Final answer
    x = 3,436,895.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.