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Finding the Third Proportional to 451,622 and 973,742

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Solution

The third proportional to 451,622 and 973,742 is: 2,099,484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,622 : 973,742 = 973,742 : x
  2. Step 2: Convert to fraction form
    451,622/973,742 = 973,742/x
  3. Step 3: Cross multiply
    451,622x = 973,742 × 973,742
  4. Step 4: Simplify right side
    451,622x = 948,173,482,564
  5. Step 5: Solve for x
    x = 948,173,482,564/451,622
  6. Step 6: Final answer
    x = 2,099,484.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.