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Finding the Third Proportional to 700,753 and 1,082,652

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Solution

The third proportional to 700,753 and 1,082,652 is: 1,672,679.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,753 : 1,082,652 = 1,082,652 : x
  2. Step 2: Convert to fraction form
    700,753/1,082,652 = 1,082,652/x
  3. Step 3: Cross multiply
    700,753x = 1,082,652 × 1,082,652
  4. Step 4: Simplify right side
    700,753x = 1,172,135,353,104
  5. Step 5: Solve for x
    x = 1,172,135,353,104/700,753
  6. Step 6: Final answer
    x = 1,672,679.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.