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Finding the Third Proportional to 639,563 and 923,986

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Solution

The third proportional to 639,563 and 923,986 is: 1,334,896.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,563 : 923,986 = 923,986 : x
  2. Step 2: Convert to fraction form
    639,563/923,986 = 923,986/x
  3. Step 3: Cross multiply
    639,563x = 923,986 × 923,986
  4. Step 4: Simplify right side
    639,563x = 853,750,128,196
  5. Step 5: Solve for x
    x = 853,750,128,196/639,563
  6. Step 6: Final answer
    x = 1,334,896.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.