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Finding the Third Proportional to 622,134 and 920,073

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Solution

The third proportional to 622,134 and 920,073 is: 1,360,694.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,134 : 920,073 = 920,073 : x
  2. Step 2: Convert to fraction form
    622,134/920,073 = 920,073/x
  3. Step 3: Cross multiply
    622,134x = 920,073 × 920,073
  4. Step 4: Simplify right side
    622,134x = 846,534,325,329
  5. Step 5: Solve for x
    x = 846,534,325,329/622,134
  6. Step 6: Final answer
    x = 1,360,694.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.