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Finding the Third Proportional to 439,722 and 963,603

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Solution

The third proportional to 439,722 and 963,603 is: 2,111,631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,722 : 963,603 = 963,603 : x
  2. Step 2: Convert to fraction form
    439,722/963,603 = 963,603/x
  3. Step 3: Cross multiply
    439,722x = 963,603 × 963,603
  4. Step 4: Simplify right side
    439,722x = 928,530,741,609
  5. Step 5: Solve for x
    x = 928,530,741,609/439,722
  6. Step 6: Final answer
    x = 2,111,631.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.